Mixtral 8x22B on 6.EE.A.1
Common Core Standard 6.EE.A.1
This standard covers the following:
Write and evaluate numerical expressions involving whole-number exponents.
Problem: What is the value of 5^4?
Mixtral 8x22B:
Reasoning: 5^4 = 5*5*5*5 = <<5*5*5*5=625>>625 ### Answer: 625 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <
Expected answer: 625
Correct? Yes
Problem: What would the result be if instead of raising 5 to the 4th power, you raised the number 4 to the 4th power?
Mixtral 8x22B:
Reasoning: 4^4 = 4*4*4*4 = <<4*4*4*4=256>>256 ### Answer: 256
Expected answer: 256
Correct? Yes
Problem: What is 9 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 9 raised to the power of 3 is 9*9*9 = <<9*9*9=729>>729. ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: What would the outcome be if we raise 6 to the power of 3, instead of 9?
Mixtral 8x22B:
Reasoning: 6 raised to the power of 3 is 6*6*6 = <<6*6*6=216>>216. ### Answer: 216
Expected answer: 216
Correct? Yes
Problem: What is the cube of 5?
Mixtral 8x22B:
Reasoning: The cube of a number is the number multiplied by itself twice. 5^3 = 5*5*5 = <<5*5*5=125>>125 ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value if we are cubing 7 instead of 5?
Mixtral 8x22B:
Reasoning: The cube of a number is the number multiplied by itself twice. 7^3 = 7*7*7 = <<7*7*7=343>>343 ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the result of raising 9 to the power of 2?
Mixtral 8x22B:
Reasoning: 9^2 = <<9^2=81>>81 ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: What would be the result if we raise 8 to the power of 2 instead of 9?
Mixtral 8x22B:
Reasoning: 8^2 = <<8^2=64>>64 ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Determine the value of 3 to the power of 3.
Mixtral 8x22B:
Reasoning: 3 to the power of 3 is 3*3*3 = <<3*3*3=27>>27. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: In the previous problem, you found the value of 3 to the power of 3. Now, consider what would happen if the base was 5 instead of 3. What is the value of 5 to the power of 3?
Mixtral 8x22B:
Reasoning: 5 to the power of 3 is 5*5*5 = <<5*5*5=125>>125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value when 9 is raised to the power of 2?
Mixtral 8x22B:
Reasoning: 9^2 = <<9^2=81>>81 ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: Considering our previous problem, if instead of 9 we raise 4 to the power of 2, what would be the value?
Mixtral 8x22B:
Reasoning: 4^2 = <<4^2=16>>16 ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Calculate the result of 9^2.
Mixtral 8x22B:
Reasoning: 9^2 = 9 * 9 = <<9*9=81>>81 ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: After learning about the calculation of 9^2, can you now tell me what is the result of 7^2?
Mixtral 8x22B:
Reasoning: 7^2 = 7 * 7 = <<7*7=49>>49 ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Determine the value of 10^3.
Mixtral 8x22B:
Reasoning: 10^3 = 10*10*10 = <<10*10*10=1000>>1000 ### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: If we changed the base in the previous question to 4 while keeping the exponent as 3, what value would we get for 4^3?
Mixtral 8x22B:
Reasoning: 4^3 = 4*4*4 = <<4*4*4=64>>64 ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the value of 6 squared, or 6^2?
Mixtral 8x22B:
Reasoning: 6 squared is equal to 6*6 = <<6*6=36>>36. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: What would the value be if instead of 6, we have 4 squared or 4^2?
Mixtral 8x22B:
Reasoning: 4 squared is equal to 4*4 = <<4*4=16>>16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the result of 3 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 3 raised to the power of 3 is 3*3*3 = <<3*3*3=27>>27. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: In the previous problem, we found the cube of 3. Now, what would be the value if we raise 6 to the power of 3 instead?
Mixtral 8x22B:
Reasoning: 6 raised to the power of 3 is 6*6*6 = <<6*6*6=216>>216. ### Answer: 216
Expected answer: 216
Correct? Yes
Problem: What is 10 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 10 raised to the power of 2 is equal to 10 multiplied by itself, which is 100. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: What happens if we instead consider 4 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 4 raised to the power of 2 is equal to 4 multiplied by itself, which is 16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the value of 9 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 9 raised to the power of 3 is equal to 9*9*9 = <<9*9*9=729>>729. ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: Earlier, we found out the value for 9 raised to the third power, right? Now, considering the same scenario, what would be the value if you raise 5 instead of 9 to the power of 3?
Mixtral 8x22B:
Reasoning: 5 raised to the power of 3 is equal to 5*5*5 = <<5*5*5=125>>125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value of 2^2?
Mixtral 8x22B:
Reasoning: The value of 2^2 is 2*2 = <<2*2=4>>4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the previous situation we evaluated the square of 2. Now, consider what would the value be if instead of 2, we needed to evaluate the square of 5?
Mixtral 8x22B:
Reasoning: The value of 5^2 is 5*5 = <<5*5=25>>25. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: What is the value when the number 7 is raised to the power of 2?
Mixtral 8x22B:
Reasoning: The value of a number raised to the power of 2 is the number multiplied by itself. 7^2 = 7*7 = <<7*7=49>>49 ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Following the previous question, what would be the value if we raised the number 2 to the power of 2 instead of 7?
Mixtral 8x22B:
Reasoning: The value of a number raised to the power of 2 is the number multiplied by itself. 2^2 = 2*2 = <<2*2=4>>4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: What is the value of 8 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 8 raised to the power of 3 is equal to 8*8*8 = <<8*8*8=512>>512. ### Answer: 512
Expected answer: 512
Correct? Yes
Problem: In the previous problem, we evaluated 8 raised to the power of 3. What if we changed the base and considered 7 instead of 8? What is the value of 7 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 7 raised to the power of 3 is equal to 7*7*7 = <<7*7*7=343>>343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the value of 3^2?
Mixtral 8x22B:
Reasoning: The value of 3^2 is 3*3 = <<3*3=9>>9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Now, what if instead you were to calculate the square of 8? What would be the value of 8^2?
Mixtral 8x22B:
Reasoning: The value of 8^2 is 8*8 = <<8*8=64>>64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the value when 9 is raised to the power of 2?
Mixtral 8x22B:
Reasoning: 9^2 = <<9^2=81>>81 ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: What would be the result if instead of raising 9 to the power of 2, we raised 6 to the power of 2?
Mixtral 8x22B:
Reasoning: 6^2 = <<6^2=36>>36 ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: What is the value of 5 cubed?
Mixtral 8x22B:
Reasoning: 5 cubed is 5*5*5 = <<5*5*5=125>>125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value if we consider a cube with a side length of 8 units instead of 5 units?
Mixtral 8x22B:
Reasoning: A cube with a side length of 8 units has a volume of 8*8*8 = <<8*8*8=512>>512 cubic units. ### Answer: 512
Expected answer: 512
Correct? Yes
Problem: What is the outcome when 5 is raised to the power of 2?
Mixtral 8x22B:
Reasoning: 5^2 = <<5^2=25>>25 ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: What is the outcome when 4 is raised to the power of 2, instead of 5?
Mixtral 8x22B:
Reasoning: 4^2 = <<4^2=16>>16 ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the value when you raise 5 to the power of 2?
Mixtral 8x22B:
Reasoning: 5^2 = <<5^2=25>>25 ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Following from the previous problem, what would be the value if we raised 8 to the power of 2 instead of 5?
Mixtral 8x22B:
Reasoning: 8^2 = <<8^2=64>>64 ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the result of 2 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 2 raised to the power of 3 is equal to 2*2*2 = <<2*2*2=8>>8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: You previously calculated 2 raised to the power of 3. Now, what would be the result if we raise 10 to the power of 3 instead?
Mixtral 8x22B:
Reasoning: 10 raised to the power of 3 is equal to 10*10*10 = <<10*10*10=1000>>1000. ### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: What is the result of 1^3?
Mixtral 8x22B:
Reasoning: The cube of a number is the number multiplied by itself twice. 1^3 = 1*1*1 = <<1*1*1=1>>1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Given what you have learned, what happens if you take the new number 3 and raise it to the power of 3 instead?
Mixtral 8x22B:
Reasoning: The cube of a number is the number multiplied by itself twice. 3^3 = 3*3*3 = <<3*3*3=27>>27 ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: What is the value of 1 raised to the power of 9?
Mixtral 8x22B:
Reasoning: Any number raised to the power of 1 is equal to the number itself. Therefore, 1 raised to the power of 9 is equal to 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What would the result be if we change the exponent from 9 to 6 and compute the value of 1 raised to the power of 6 instead?
Mixtral 8x22B:
Reasoning: Any number raised to the power of 1 is equal to the number itself. Therefore, 1 raised to the power of 6 is equal to 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the result of 8^3?
Mixtral 8x22B:
Reasoning: 8^3 = 8*8*8 = <<8*8=64, 64*8=512>>512 ### Answer: 512
Expected answer: 512
Correct? Yes
Problem: Previously, we raised 8 to the power of 3. Now, what if we raise 5 to the power of 3, what would be the result?
Mixtral 8x22B:
Reasoning: 5^3 = 5*5*5 = <<5*5=25, 25*5=125>>125 ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the result when 1 is raised to the power of 2?
Mixtral 8x22B:
Reasoning: 1 raised to any power is equal to 1. 1^2 = <<1^2=1>>1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Given the understanding that 1 raised to the power of 2 gives us 1, what would be the result if we raised 4 to the power of 2 instead?
Mixtral 8x22B:
Reasoning: 4 raised to the power of 2 is equal to 4*4. 4^2 = <<4*4=16>>16 ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the result of 2^2?
Mixtral 8x22B:
Reasoning: The expression 2^2 means 2 multiplied by itself twice. 2^2 = 2 \* 2 = <<2\*2=4>>4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Previously, you evaluated 2^2. Now, what's the result of performing an identical operation, but instead of squared (2^2), it is raised to the 7th power (2^7)?
Mixtral 8x22B:
Reasoning: The expression 2^7 means 2 multiplied by itself seven times. 2^7 = 2 \* 2 \* 2 \* 2 \* 2 \* 2 \* 2 = <<2\*2\*2\*2\*2\*2\*2=128>>128 ### Answer: 128
Expected answer: 128
Correct? Yes
Problem: What is 8 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 8 raised to the power of 2 is 8*8 = <<8*8=64>>64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What would be the result if we took one instead of eight and raised it to the power of 2?
Mixtral 8x22B:
Reasoning: 1 raised to the power of 2 is 1*1 = <<1*1=1>>1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the result of 2 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 2 raised to the power of 3 is equal to 2*2*2 = <<2*2*2=8>>8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: What would the result be if you raised 7 to the power of 3 instead of 2 in the previous problem?
Mixtral 8x22B:
Reasoning: 7 raised to the power of 3 is equal to 7*7*7 = <<7*7*7=343>>343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the value of 8^2?
Mixtral 8x22B:
Reasoning: The value of 8^2 is 8*8 = <<8*8=64>>64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What would be the value if you squared 1 instead of 8?
Mixtral 8x22B:
Reasoning: The value of 1^2 is 1*1 = <<1*1=1>>1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the result of 6 to the power of 3?
Mixtral 8x22B:
Reasoning: 6 to the power of 3 is 6*6*6 = <<6*6*6=216>>216. ### Answer: 216
Expected answer: 216
Correct? Yes
Problem: Following the previous problem, what would be the result if we evaluate 6 to the power of 1 instead of 3?
Mixtral 8x22B:
Reasoning: 6 to the power of 1 is 6. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: What is the value when 7 is raised to the power of 1?
Mixtral 8x22B:
Reasoning: Any number raised to the power of 1 is equal to the number itself. 7^1 = <<7^1=7>>7 ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Now, consider what will be the value when 7 is not just raised to the power of 1, but to the power of 3 instead?
Mixtral 8x22B:
Reasoning: When a number is raised to the power of 3, it means that the number is multiplied by itself three times. 7^3 = 7*7*7 = <<7*7*7=343>>343 ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the result of 2 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 2 raised to the power of 2 is equal to 2*2 = <<2*2=4>>4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the previous problem, you found the result of 2 raised to the power of 2. Now, what is the result of 4 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 4 raised to the power of 2 is equal to 4*4 = <<4*4=16>>16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the value of 4^2?
Mixtral 8x22B:
Reasoning: The value of 4^2 is 4*4 = <<4*4=16>>16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Following up on our previous question, what would be the result if we raised 10, instead of 4, to the power of 2?
Mixtral 8x22B:
Reasoning: The value of 10^2 is 10*10 = <<10*10=100>>100. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: What is the value of 9^2?
Mixtral 8x22B:
Reasoning: The value of 9^2 is 9*9 = <<9*9=81>>81. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: What would be the value if instead of 9^2, we calculated 4^2?
Mixtral 8x22B:
Reasoning: The value of 4^2 is 4*4 = <<4*4=16>>16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the value of 5^3?
Mixtral 8x22B:
Reasoning: 5^3 = 5*5*5 = <<5*5*5=125>>125 ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value if we consider raising 7 to the power of 3 instead of 5^3?
Mixtral 8x22B:
Reasoning: 7^3 = 7*7*7 = <<7*7*7=343>>343 ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the result when 7 is raised to the power of 3?
Mixtral 8x22B:
Reasoning: 7^3 = 7*7*7 = <<7*7*7=343>>343 ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What would be the result if instead of raising 7 to the power of 3, you raised 9 to the power of 3?
Mixtral 8x22B:
Reasoning: 9^3 = 9*9*9 = <<9*9*9=729>>729 ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: What is the calculation result of 2^2?
Mixtral 8x22B:
Reasoning: The calculation result of 2^2 is 2*2 = <<2*2=4>>4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Suppose instead of 2 units, you only had a single unit. What would be the result if you squared that single unit (1^2)?
Mixtral 8x22B:
Reasoning: If you only had a single unit, the result of squaring that single unit (1^2) would be 1*1 = <<1*1=1>>1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the value when 4 is raised to the power of 3?
Mixtral 8x22B:
Reasoning: 4^3 = 4*4*4 = <<4*4*4=64>>64 ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Now imagine if we raised 3 to the power of 3 instead, what would be the result?
Mixtral 8x22B:
Reasoning: 3^3 = 3*3*3 = <<3*3*3=27>>27 ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Calculate the value of 2^3.
Mixtral 8x22B:
Reasoning: The value of 2^3 is 2*2*2 = <<2*2*2=8>>8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: In the previous problem, we evaluated 2^3. Now consider if it were 3^3 instead. What value would that give?
Mixtral 8x22B:
Reasoning: The value of 3^3 is 3*3*3 = <<3*3*3=27>>27. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: What is the value of 5^4?
Mixtral 8x22B:
Reasoning: 5^4 = 5*5*5*5 = <<5*5*5*5=625>>625 ### Answer: 625
Expected answer: 625
Correct? Yes
Problem: What is the value of 7^3?
Mixtral 8x22B:
Reasoning: 7^3 = 7*7*7 = <<7*7*7=343>>343 ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What would the value be if we have 6^3 instead of 7^3?
Mixtral 8x22B:
Reasoning: 6^3 = 6*6*6 = <<6*6*6=216>>216 ### Answer: 216
Expected answer: 216
Correct? Yes
Problem: What is the value of 10^2?
Mixtral 8x22B:
Reasoning: The value of 10^2 is 10*10 = <<10*10=100>>100. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: What is the result if we have 8 groups, not 10, of spiders, each group having a power of 2?
Mixtral 8x22B:
Reasoning: If we have 8 groups of spiders, each group having a power of 2, then the total number of spiders is 2^1 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 = <<2^1 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8=255>>255. ### Answer: 255
Expected answer: 64
Correct? No
Problem: What is the value of 1 raised to the power of 2?
Mixtral 8x22B:
Reasoning: Any number raised to the power of 2 is the number multiplied by itself. 1 raised to the power of 2 is 1*1 = <<1*1=1>>1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What if, instead of 1, the base was changed to 6? What would be the result of 6 raised to the power of 2?
Mixtral 8x22B:
Reasoning: Any number raised to the power of 2 is the number multiplied by itself. 6 raised to the power of 2 is 6*6 = <<6*6=36>>36. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Find the value of 9^3.
Mixtral 8x22B:
Reasoning: 9^3 = 9*9*9 = <<9*9=81>>81*9 = <<81*9=729>>729. ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: Now consider this: What would be the result if we were to raise 7 to the power of 3 instead of 9? Calculate 7^3.
Mixtral 8x22B:
Reasoning: 7^3 = 7*7*7 = <<7*7=49>>49*7 = <<49*7=343>>343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is 1^2 equal to?
Mixtral 8x22B:
Reasoning: 1^2 = 1 * 1 = <<1*1=1>>1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is 3^2? In other words, if now you're considering 3 instances of a number being multiplied by itself instead of the single instance we previously evaluated, what would the new result be?
Mixtral 8x22B:
Reasoning: 3^2 = 3 * 3 = <<3*3=9>>9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: What is the result when you evaluate 2 raised to the power 2?
Mixtral 8x22B:
Reasoning: 2 raised to the power 2 is equal to 2*2 = <<2*2=4>>4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: What would the result be if we now consider 1 raised to the power 2 instead of 2 raised to the power 2?
Mixtral 8x22B:
Reasoning: 1 raised to the power 2 is equal to 1*1 = <<1*1=1>>1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the result when 4 is squared?
Mixtral 8x22B:
Reasoning: 4 squared is 4*4 = <<4*4=16>>16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What happens to the result when instead of squaring 4, you square 7?
Mixtral 8x22B:
Reasoning: 7 squared is 7*7 = <<7*7=49>>49. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: What is the value of 7 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 7 raised to the power of 3 is equal to 7*7*7 = <<7*7*7=343>>343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What would be the result if we raise 8 instead of 7 to the power of 3?
Mixtral 8x22B:
Reasoning: 8 raised to the power of 3 is equal to 8*8*8 = <<8*8*8=512>>512. ### Answer: 512
Expected answer: 512
Correct? Yes
Problem: What is the value of 4^3?
Mixtral 8x22B:
Reasoning: 4^3 = 4*4*4 = <<4*4*4=64>>64 ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Following the previous question, consider that instead of taking 4^3, we take 5^3. What is now the value?
Mixtral 8x22B:
Reasoning: 5^3 = 5*5*5 = <<5*5*5=125>>125 ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value of 1^2?
Mixtral 8x22B:
Reasoning: The value of 1^2 is 1*1 = <<1*1=1>>1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What would be the value if you raised 7 to the power of 2 instead of 1?
Mixtral 8x22B:
Reasoning: The value of 7^2 is 7*7 = <<7*7=49>>49. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: What is the result of computing 6^2?
Mixtral 8x22B:
Reasoning: 6^2 = 6*6 = <<6*6=36>>36. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Suppose you originally had 3 square blocks instead of 6. What is the result of squaring the number of these blocks now, i.e., what is 3^2?
Mixtral 8x22B:
Reasoning: 3^2 = 3*3 = <<3*3=9>>9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: What is the result of 2 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 2 raised to the power of 2 is equal to 2*2 = <<2*2=4>>4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the previous problem, we calculated the square of 2. But what if we had 3 instead of 2 to begin with? What would be the result of 3 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 3 raised to the power of 2 is equal to 3*3 = <<3*3=9>>9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: What is the value of 4^2?
Mixtral 8x22B:
Reasoning: The value of 4^2 is 4*4 = <<4*4=16>>16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Now, consider what will be the value if instead of 4, we square 9? What will 9^2 be?
Mixtral 8x22B:
Reasoning: The value of 9^2 is 9*9 = <<9*9=81>>81. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: What is the value of 3^2?
Mixtral 8x22B:
Reasoning: The value of 3^2 is 3*3 = <<3*3=9>>9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Following the previous problem, what if, instead of 3, we raised 8 to the power of 2? What would be the value?
Mixtral 8x22B:
Reasoning: The value of 8^2 is 8*8 = <<8*8=64>>64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the value of 10 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 10 raised to the power of 3 is equal to 10*10*10 = <<10*10*10=1000>>1000. ### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: What is the result of 10 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 10 raised to the power of 3 is equal to 10*10*10 = <<10*10*10=1000>>1000. ### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: What would be the result if we change the base number from 10 to 9, and compute 9 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 9 raised to the power of 3 is equal to 9*9*9 = <<9*9*9=729>>729. ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: What's the value of 8^1?
Mixtral 8x22B:
Reasoning: The value of any number raised to the power of 1 is the number itself. So, 8^1 = <<8^1=8>>8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Following our previous calculation, let's change the numbers a bit. What's the value now if we evaluate 10^1?
Mixtral 8x22B:
Reasoning: The value of any number raised to the power of 1 is the number itself. So, 10^1 = <<10^1=10>>10. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: What is the result of 7 to the power of 3?
Mixtral 8x22B:
Reasoning: 7 to the power of 3 is 7*7*7 = <<7*7*7=343>>343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What if instead of elevating 7 to the power of 3, we changed the base and elevated 2 to the power of 3? What would be the result then?
Mixtral 8x22B:
Reasoning: 2 to the power of 3 is 2*2*2 = <<2*2*2=8>>8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: What is the result of 2 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 2 raised to the power of 2 is equal to 2*2 = <<2*2=4>>4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: What happens if we consider 6 instead of 2 and raise it to the power of 2?
Mixtral 8x22B:
Reasoning: 6 raised to the power of 2 is equal to 6*6 = <<6*6=36>>36. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: What is the value of 5 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 5 raised to the power of 3 is equal to 5*5*5 = <<5*5*5=125>>125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: Next, consider what happens if instead of 5, we have 4 in the base. What would be the new value if 4 is raised to the power of 3?
Mixtral 8x22B:
Reasoning: 4 raised to the power of 3 is equal to 4*4*4 = <<4*4*4=64>>64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the value of raising 5 to the power of 4?
Mixtral 8x22B:
Reasoning: 5^4 = 5*5*5*5 = <<5*5*5*5=625>>625 ### Answer: 625
Expected answer: 625
Correct? Yes
Problem: Consider the original finding where we raised 5 to the power of 4. Now, what would be the result if we raised 1 to the power of 4 instead?
Mixtral 8x22B:
Reasoning: 1^4 = 1*1*1*1 = <<1*1*1*1=1>>1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the result of 3 raised to the power of 5?
Mixtral 8x22B:
Reasoning: 3^5 = 3*3*3*3*3 = <<3*3*3*3*3=243>>243 ### Answer: 243
Expected answer: 243
Correct? Yes
Problem: Considering the previous problem where we calculated 3^5, what would be the result if we instead calculated 2^5?
Mixtral 8x22B:
Reasoning: 2^5 = 2*2*2*2*2 = <<2*2*2*2*2=32>>32 ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: What would be the output of 2^2?
Mixtral 8x22B:
Reasoning: The expression 2^2 means 2 multiplied by itself 2 times. 2^2 = 2 * 2 = <<2*2=4>>4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: What would be the result if we raised 5 to the power of 2 instead of 2?
Mixtral 8x22B:
Reasoning: The expression 5^2 means 5 multiplied by itself 2 times. 5^2 = 5 * 5 = <<5*5=25>>25 ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: What is the value of 4^2?
Mixtral 8x22B:
Reasoning: The value of 4^2 is 4*4 = <<4*4=16>>16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What would be the value if originally, instead of 4^2, it was calculated as 9^2?
Mixtral 8x22B:
Reasoning: The value of 9^2 is 9*9 = <<9*9=81>>81. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: What is the value of 6^2?
Mixtral 8x22B:
Reasoning: The value of 6^2 is 6*6 = <<6*6=36>>36. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: What would be the value if we considered 7^2 instead of 6^2?
Mixtral 8x22B:
Reasoning: The value of 7^2 is 7*7 = <<7*7=49>>49. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: What is the result of 10^3?
Mixtral 8x22B:
Reasoning: 10^3 = 10*10*10 = <<10*10*10=1000>>1000 ### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: What is the result if we replace the base number from the previous problem (which was 10), with 7? In other words, what is the value of 7^3?
Mixtral 8x22B:
Reasoning: 7^3 = 7*7*7 = <<7*7*7=343>>343 ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the value of 4 ^ 2 in mathematics?
Mixtral 8x22B:
Reasoning: The value of 4^2 is 4 multiplied by itself, which is 4*4 = <<4*4=16>>16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Following up from your last computation, how would the outcome change if you raised 6 to the power of 2 instead of 4?
Mixtral 8x22B:
Reasoning: The value of 6^2 is 6 multiplied by itself, which is 6*6 = <<6*6=36>>36. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: What is the outcome when 10 is raised to the power of 3?
Mixtral 8x22B:
Reasoning: 10^3 = <<10*10*10=1000>>1000 ### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: What would be the outcome if instead of 10, we raised 1 to the power of 3?
Mixtral 8x22B:
Reasoning: 1^3 = <<1*1*1=1>>1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the value of 7 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 7 raised to the power of 3 is equal to 7*7*7 = <<7*7*7=343>>343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: Following up from the previous question, what would the result be if we raised 3 to the power of 3 instead of 7?
Mixtral 8x22B:
Reasoning: 3 raised to the power of 3 is equal to 3*3*3 = <<3*3*3=27>>27. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: What is the result of 8 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 8 raised to the power of 2 is equal to 8*8 = <<8*8=64>>64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What would the result be if instead of raising 8 to the power of 2, we raised 7 to the power of 2?
Mixtral 8x22B:
Reasoning: 7 raised to the power of 2 is equal to 7*7 = <<7*7=49>>49. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: What is the cubed value of 7?
Mixtral 8x22B:
Reasoning: The cubed value of a number is the number multiplied by itself three times. 7^3 = 7*7*7 = <<7*7*7=343>>343 ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What would be the result if instead of cubing 7, you cubed 6?
Mixtral 8x22B:
Reasoning: The cubed value of a number is the number multiplied by itself three times. 6^3 = 6*6*6 = <<6*6*6=216>>216 ### Answer: 216
Expected answer: 216
Correct? Yes
Problem: What is the result of 8 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 8 raised to the power of 2 is equal to 8*8 = <<8*8=64>>64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Considering the same calculation, what is the result if we raise 6 to the power of 2 instead of 8?
Mixtral 8x22B:
Reasoning: 6 raised to the power of 2 is equal to 6*6 = <<6*6=36>>36. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: What is the result of 2 raised to the power 3?
Mixtral 8x22B:
Reasoning: 2 raised to the power 3 is equal to 2*2*2 = <<2*2*2=8>>8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Previously, you computed the value of 2 raised to the power 3. Now, calculate what happens if you raise 5 to the power 3 instead.
Mixtral 8x22B:
Reasoning: 5 raised to the power 3 is equal to 5*5*5 = <<5*5*5=125>>125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: Calculate the value of 5 raised to the power of 2.
Mixtral 8x22B:
Reasoning: 5 raised to the power of 2 is equal to 5*5 = <<5*5=25>>25. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: In continuation of the previous problem, now calculate the value of 4 raised to the power of 2.
Mixtral 8x22B:
Reasoning: 4 raised to the power of 2 is equal to 4*4 = <<4*4=16>>16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the result when 7 is raised to the power of 2?
Mixtral 8x22B:
Reasoning: 7^2 = <<7^2=49>>49 ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: What would happen if instead of 7, we raised 10 to the power of 2?
Mixtral 8x22B:
Reasoning: 10^2 = <<10^2=100>>100 ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: What is the value of 10 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 10 raised to the power of 2 is equal to 10*10 = <<10*10=100>>100. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: Now consider what happens if instead of raising 10 to the power of 2, we instead raise 2 to the power of 2. What would be the value?
Mixtral 8x22B:
Reasoning: 2 raised to the power of 2 is equal to 2*2 = <<2*2=4>>4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: What is the value of 6^2?
Mixtral 8x22B:
Reasoning: The value of 6^2 is 6*6 = <<6*6=36>>36. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: What would be the value if you raise 9 to the power of 2 instead of 6?
Mixtral 8x22B:
Reasoning: The value of 9^2 is 9*9 = <<9*9=81>>81. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: What is the value of the expression 3^3?
Mixtral 8x22B:
Reasoning: The expression 3^3 means 3 multiplied by itself 3 times. 3^3 = 3*3*3 = <<3*3*3=27>>27 ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: What would be the result if, instead of 3, we raised 5 to the power of 3?
Mixtral 8x22B:
Reasoning: The expression 5^3 means 5 multiplied by itself 3 times. 5^3 = 5*5*5 = <<5*5*5=125>>125 ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the result when you calculate 1^3?
Mixtral 8x22B:
Reasoning: 1^3 = 1*1*1 = <<1*1*1=1>>1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What would be the result if we raised 9 to the power of 3 instead of 1?
Mixtral 8x22B:
Reasoning: 9^3 = 9*9*9 = <<9*9*9=729>>729. ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: What is the result of 3 raised to the power of 6?
Mixtral 8x22B:
Reasoning: 3 raised to the power of 6 is 3*3*3*3*3*3 = <<3*3*3*3*3*3=729>>729. ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: What would be the value if we instead raised 3 to the power of 1?
Mixtral 8x22B:
Reasoning: 3 raised to the power of 1 is 3. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: What is the value of 3^5?
Mixtral 8x22B:
Reasoning: 3^5 = 3*3*3*3*3 = <<3*3*3*3*3=243>>243 ### Answer: 243
Expected answer: 243
Correct? Yes
Problem: Following the previous problem, what would be the result if we consider 3 raised to the power of 1?
Mixtral 8x22B:
Reasoning: 3^1 = 3 ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: What is the cubic value of 8, expressed as 8^3?
Mixtral 8x22B:
Reasoning: The cubic value of a number is found by multiplying the number by itself three times. 8^3 = 8*8*8 = <<8*8*8=512>>512 ### Answer: 512
Expected answer: 512
Correct? Yes
Problem: What is the result if instead of cubic value of 8, we calculate the cubic value of 1, expressed as 1^3?
Mixtral 8x22B:
Reasoning: The cubic value of a number is found by multiplying the number by itself three times. 1^3 = 1*1*1 = <<1*1*1=1>>1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Calculate the value of 9^2.
Mixtral 8x22B:
Reasoning: The value of 9^2 is 9*9 = <<9*9=81>>81. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: Following our previous calculation of 9^2, let's change the number. What is the value of 5^2?
Mixtral 8x22B:
Reasoning: The value of 5^2 is 5*5 = <<5*5=25>>25. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: What is the exponential value of 2 to the power of 2?
Mixtral 8x22B:
Reasoning: The exponential value of 2 to the power of 2 is 2*2 = <<2*2=4>>4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: What is the result if the base 2 is raised to the power of 1 instead of 2?
Mixtral 8x22B:
Reasoning: The result if the base 2 is raised to the power of 1 is 2^1 = <<2^1=2>>2. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Calculate the value of 5 squared.
Mixtral 8x22B:
Reasoning: 5 squared is 5*5 = <<5*5=25>>25. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: If we reconsider the previous concept but instead use 3 as the base, what would be the value of 3 squared?
Mixtral 8x22B:
Reasoning: 3 squared is 3*3 = <<3*3=9>>9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: What is the value of 8 raised to the power 2?
Mixtral 8x22B:
Reasoning: 8 raised to the power 2 is equal to 8*8 = <<8*8=64>>64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the square of 7?
Mixtral 8x22B:
Reasoning: The square of 7 is equal to 7*7 = <<7*7=49>>49. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: What is the value when 8 is raised to the power of 3?
Mixtral 8x22B:
Reasoning: 8^3 = 8*8*8 = <<8*8=64, 64*8=512>>512 ### Answer: 512
Expected answer: 512
Correct? Yes
Problem: In the previous problem, you calculated the value when 8 was raised to the power of 3. What would the value be if instead we raise 7 to the power of 3?
Mixtral 8x22B:
Reasoning: 7^3 = 7*7*7 = <<7*7=49, 49*7=343>>343 ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the value of 3 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 3 raised to the power of 3 is equal to 3*3*3 = <<3*3*3=27>>27. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: What happens if we change the situation a bit and instead of 3, we use 2 and raise it to the power of 3? What would be the result?
Mixtral 8x22B:
Reasoning: 2 raised to the power of 3 is equal to 2*2*2 = <<2*2*2=8>>8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: What is the cube of 9?
Mixtral 8x22B:
Reasoning: The cube of a number is the number multiplied by itself twice. 9^3 = 9*9*9 = <<9*9*9=729>>729 ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: What would the cube be if we considered 3 instead of 9?
Mixtral 8x22B:
Reasoning: The cube of a number is the number multiplied by itself twice. 3^3 = 3*3*3 = <<3*3*3=27>>27 ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: What is the result of raising 9 to the third power?
Mixtral 8x22B:
Reasoning: 9^3 = 9*9*9 = <<9*9=81>>81*9 = <<81*9=729>>729 ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: In the previous problem, you found the result of raising 9 to the third power. Now, what if instead of raising 9, you raise 3 to the third power? What would be the result then?
Mixtral 8x22B:
Reasoning: 3^3 = 3*3*3 = <<3*3=9>>9*3 = <<9*3=27>>27 ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: What is the result of 6 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 6 raised to the power of 3 is equal to 6*6*6 = <<6*6*6=216>>216. ### Answer: 216
Expected answer: 216
Correct? Yes
Problem: "What would be the result if instead of raising 6 to the power of 3, we raised 10 to the power of 3?"
Mixtral 8x22B:
Reasoning: 10 raised to the power of 3 is equal to 10*10*10 = <<10*10*10=1000>>1000. ### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: What is 9 squared, or 9^2?
Mixtral 8x22B:
Reasoning: 9 squared is 9 multiplied by 9, which equals 81. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: What would the result be if we squared a smaller number, like 4^2?
Mixtral 8x22B:
Reasoning: 4 squared is 4 multiplied by 4, which equals 16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Evaluate the expression 5^3.
Mixtral 8x22B:
Reasoning: The expression 5^3 means 5 multiplied by itself 3 times. 5^3 = 5*5*5 = <<5*5*5=125>>125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value of 8 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 8 raised to the power of 2 is equal to 8*8 = <<8*8=64>>64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Continuing from the previous question, what would be the value if instead of 8 raised to the power of 2, we now have 10 raised to the power of 2?
Mixtral 8x22B:
Reasoning: 10 raised to the power of 2 is equal to 10*10 = <<10*10=100>>100. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: What is the value when 10 is raised to the power of 3?
Mixtral 8x22B:
Reasoning: 10 raised to the power of 3 is equal to 10*10*10 = <<10*10*10=1000>>1000. ### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: Based on the previous problem, let's consider a different scenario. What will be the value when 2 raised to the power of 3 instead of 10?
Mixtral 8x22B:
Reasoning: 2 raised to the power of 3 is equal to 2*2*2 = <<2*2*2=8>>8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: What is the value of 9 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 9 raised to the power of 3 is equal to 9*9*9 = <<9*9*9=729>>729. ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: Now reflect on the previous problem but this time think about what would happen if it was 7 that was raised to the power of 3. What would be the value then?
Mixtral 8x22B:
Reasoning: 7 raised to the power of 3 is equal to 7*7*7 = <<7*7*7=343>>343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the value of 7^3?
Mixtral 8x22B:
Reasoning: 7^3 = 7*7*7 = <<7*7*7=343>>343 ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What would be the result if there was only 1 number instead of 7, and it was raised to the power of 3?
Mixtral 8x22B:
Reasoning: If the number was 1, then 1^3 = 1*1*1 = <<1*1*1=1>>1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the value of 5 raised to the power of 3?
Mixtral 8x22B:
Reasoning: 5 raised to the power of 3 is equal to 5*5*5 = <<5*5*5=125>>125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: In the previous problem, we evaluated what happens when 5 is raised to the power of 3. Now, suppose we had started with 2 instead of 5. What would be the result if 2 were raised to the power of 3?
Mixtral 8x22B:
Reasoning: 2 raised to the power of 3 is equal to 2*2*2 = <<2*2*2=8>>8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: What is the value of 7^3?
Mixtral 8x22B:
Reasoning: 7^3 = 7*7*7 = <<7*7*7=343>>343 ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: Following on from the previous question, what would the outcome be if we replaced 7 with 9 in our exponent calculation? In other words, what is the value of 9^3?
Mixtral 8x22B:
Reasoning: 9^3 = 9*9*9 = <<9*9*9=729>>729 ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: What is the result when 1 is raised to the 5th power?
Mixtral 8x22B:
Reasoning: 1 raised to any power is always 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What would be the result if 1 is raised to the 9th power instead of the 5th power?
Mixtral 8x22B:
Reasoning: 1 raised to any power is always 1. ### Answer: 1
Expected answer: 1
Correct? Yes