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?
DeepSeek Math 7B Base:
5^4 = 5*5*5*5 = 625
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?
DeepSeek Math 7B Base:
4^4 = 4*4*4*4 = 256
Expected answer: 256
Correct? Yes
Problem: What is 9 raised to the power of 3?
DeepSeek Math 7B Base:
9^3 = <<9^3=729>>729
Expected answer: 729
Correct? Yes
Problem: What would the outcome be if we raise 6 to the power of 3, instead of 9?
DeepSeek Math 7B Base:
6^3 = <<6^3=216>>216
Expected answer: 216
Correct? Yes
Problem: What is the cube of 5?
DeepSeek Math 7B Base:
The cube of 5 is 5*5*5 = <<5*5*5=125>>125.
Expected answer: 125
Correct? Yes
Problem: What is the value if we are cubing 7 instead of 5?
DeepSeek Math 7B Base:
The cube of 7 is 7*7*7 = <<7*7*7=343>>343.
Expected answer: 343
Correct? Yes
Problem: What is the result of raising 9 to the power of 2?
DeepSeek Math 7B Base:
9^2 = <<9^2=81>>81
Expected answer: 81
Correct? Yes
Problem: What would be the result if we raise 8 to the power of 2 instead of 9?
DeepSeek Math 7B Base:
8^2 = <<8^2=64>>64
Expected answer: 64
Correct? Yes
Problem: Determine the value of 3 to the power of 3.
DeepSeek Math 7B Base:
3 to the power of 3 is 3*3*3 = <<3*3*3=27>>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?
DeepSeek Math 7B Base:
5 to the power of 3 is 5*5*5 = <<5*5*5=125>>125.
Expected answer: 125
Correct? Yes
Problem: What is the value when 9 is raised to the power of 2?
DeepSeek Math 7B Base:
9^2 = 9*9 = <<9*9=81>>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?
DeepSeek Math 7B Base:
4^2 = 4*4 = <<4*4=16>>16
Expected answer: 16
Correct? Yes
Problem: Calculate the result of 9^2.
DeepSeek Math 7B Base:
9^2 = <<9^2=81>>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?
DeepSeek Math 7B Base:
7^2 = <<7^2=49>>49
Expected answer: 49
Correct? Yes
Problem: Determine the value of 10^3.
DeepSeek Math 7B Base:
10^3 = 10*10*10 = 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?
DeepSeek Math 7B Base:
4^3 = 4*4*4 = 64
Expected answer: 64
Correct? Yes
Problem: What is the value of 6 squared, or 6^2?
DeepSeek Math 7B Base:
6^2 = 6*6 = <<6*6=36>>36
Expected answer: 36
Correct? Yes
Problem: What would the value be if instead of 6, we have 4 squared or 4^2?
DeepSeek Math 7B Base:
4^2 = 4*4 = <<4*4=16>>16
Expected answer: 16
Correct? Yes
Problem: What is the result of 3 raised to the power of 3?
DeepSeek Math 7B Base:
3^3 = <<3^3=27>>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?
DeepSeek Math 7B Base:
6^3 = <<6^3=216>>216
Expected answer: 216
Correct? Yes
Problem: What is 10 raised to the power of 2?
DeepSeek Math 7B Base:
10^2 = 10*10 = <<10*10=100>>100
Expected answer: 100
Correct? Yes
Problem: What happens if we instead consider 4 raised to the power of 2?
DeepSeek Math 7B Base:
4^2 = 4*4 = <<4*4=16>>16
Expected answer: 16
Correct? Yes
Problem: What is the value of 9 raised to the power of 3?
DeepSeek Math 7B Base:
9^3 = 9*9*9 = 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?
DeepSeek Math 7B Base:
5^3 = 5*5*5 = 125
Expected answer: 125
Correct? Yes
Problem: What is the value of 2^2?
DeepSeek Math 7B Base:
2^2 = <<2^2=4>>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?
DeepSeek Math 7B Base:
5^2 = <<5^2=25>>25
Expected answer: 25
Correct? Yes
Problem: What is the value when the number 7 is raised to the power of 2?
DeepSeek Math 7B Base:
7^2 = <<7^2=49>>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?
DeepSeek Math 7B Base:
2^2 = <<2^2=4>>4
Expected answer: 4
Correct? Yes
Problem: What is the value of 8 raised to the power of 3?
DeepSeek Math 7B Base:
8^3 = <<8^3=512>>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?
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>343
Expected answer: 343
Correct? Yes
Problem: What is the value of 3^2?
DeepSeek Math 7B Base:
3^2 = 3*3 = <<3*3=9>>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?
DeepSeek Math 7B Base:
8^2 = 8*8 = <<8*8=64>>64
Expected answer: 64
Correct? Yes
Problem: What is the value when 9 is raised to the power of 2?
DeepSeek Math 7B Base:
9^2 = 9*9 = <<9*9=81>>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?
DeepSeek Math 7B Base:
6^2 = 6*6 = <<6*6=36>>36
Expected answer: 36
Correct? Yes
Problem: What is the value of 5 cubed?
DeepSeek Math 7B Base:
5 cubed is 5*5*5 = <<5*5*5=125>>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?
DeepSeek Math 7B Base:
8 cubed is 8*8*8 = <<8*8*8=512>>512.
Expected answer: 512
Correct? Yes
Problem: What is the outcome when 5 is raised to the power of 2?
DeepSeek Math 7B Base:
5^2 = 5*5 = <<5*5=25>>25
Expected answer: 25
Correct? Yes
Problem: What is the outcome when 4 is raised to the power of 2, instead of 5?
DeepSeek Math 7B Base:
4^2 = 4*4 = <<4*4=16>>16
Expected answer: 16
Correct? Yes
Problem: What is the value when you raise 5 to the power of 2?
DeepSeek Math 7B Base:
5^2 = <<5^2=25>>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?
DeepSeek Math 7B Base:
8^2 = <<8^2=64>>64
Expected answer: 64
Correct? Yes
Problem: What is the result of 2 raised to the power of 3?
DeepSeek Math 7B Base:
2^3 = <<2^3=8>>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?
DeepSeek Math 7B Base:
10^3 = <<10^3=1000>>1000
Expected answer: 1000
Correct? Yes
Problem: What is the result of 1^3?
DeepSeek Math 7B Base:
1^3 = 1*1*1 = 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?
DeepSeek Math 7B Base:
3^3 = 3*3*3 = 27
Expected answer: 27
Correct? Yes
Problem: What is the value of 1 raised to the power of 9?
DeepSeek Math 7B Base:
1 raised to the power of 9 is 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?
DeepSeek Math 7B Base:
1 raised to the power of 6 is 1.
Expected answer: 1
Correct? Yes
Problem: What is the result of 8^3?
DeepSeek Math 7B Base:
8^3 = <<8^3=512>>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?
DeepSeek Math 7B Base:
5^3 = <<5^3=125>>125
Expected answer: 125
Correct? Yes
Problem: What is the result when 1 is raised to the power of 2?
DeepSeek Math 7B Base:
1^2 = 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?
DeepSeek Math 7B Base:
4^2 = 16
Expected answer: 16
Correct? Yes
Problem: What is the result of 2^2?
DeepSeek Math 7B Base:
2^2 = <<2^2=4>>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)?
DeepSeek Math 7B Base:
2^7 = <<2^7=128>>128
Expected answer: 128
Correct? Yes
Problem: What is 8 raised to the power of 2?
DeepSeek Math 7B Base:
8^2 = <<8^2=64>>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?
DeepSeek Math 7B Base:
1^2 = <<1^2=1>>1
Expected answer: 1
Correct? Yes
Problem: What is the result of 2 raised to the power of 3?
DeepSeek Math 7B Base:
2^3 = <<2^3=8>>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?
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>343
Expected answer: 343
Correct? Yes
Problem: What is the value of 8^2?
DeepSeek Math 7B Base:
8^2 = <<8^2=64>>64
Expected answer: 64
Correct? Yes
Problem: What would be the value if you squared 1 instead of 8?
DeepSeek Math 7B Base:
1^2 = <<1^2=1>>1
Expected answer: 1
Correct? Yes
Problem: What is the result of 6 to the power of 3?
DeepSeek Math 7B Base:
6 to the power of 3 is 6*6*6 = <<6*6*6=216>>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?
DeepSeek Math 7B Base:
6 to the power of 1 is 6.
Expected answer: 6
Correct? Yes
Problem: What is the value when 7 is raised to the power of 1?
DeepSeek Math 7B Base:
The value of 7^1 is 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?
DeepSeek Math 7B Base:
The value of 7^3 is 343.
Expected answer: 343
Correct? Yes
Problem: What is the result of 2 raised to the power of 2?
DeepSeek Math 7B Base:
2^2 = <<2^2=4>>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?
DeepSeek Math 7B Base:
4^2 = <<4^2=16>>16
Expected answer: 16
Correct? Yes
Problem: What is the value of 4^2?
DeepSeek Math 7B Base:
4^2 = <<4^2=16>>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?
DeepSeek Math 7B Base:
10^2 = <<10^2=100>>100
Expected answer: 100
Correct? Yes
Problem: What is the value of 9^2?
DeepSeek Math 7B Base:
9^2 = <<9^2=81>>81
Expected answer: 81
Correct? Yes
Problem: What would be the value if instead of 9^2, we calculated 4^2?
DeepSeek Math 7B Base:
4^2 = <<4^2=16>>16
Expected answer: 16
Correct? Yes
Problem: What is the value of 5^3?
DeepSeek Math 7B Base:
5^3 = 5*5*5 = <<5*5*5=125>>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?
DeepSeek Math 7B Base:
7^3 = 7*7*7 = <<7*7*7=343>>343
Expected answer: 343
Correct? Yes
Problem: What is the result when 7 is raised to the power of 3?
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>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?
DeepSeek Math 7B Base:
9^3 = <<9^3=729>>729
Expected answer: 729
Correct? Yes
Problem: What is the calculation result of 2^2?
DeepSeek Math 7B Base:
2^2 = <<2^2=4>>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)?
DeepSeek Math 7B Base:
1^2 = <<1^2=1>>1
Expected answer: 1
Correct? Yes
Problem: What is the value when 4 is raised to the power of 3?
DeepSeek Math 7B Base:
4^3 = <<4^3=64>>64
Expected answer: 64
Correct? Yes
Problem: Now imagine if we raised 3 to the power of 3 instead, what would be the result?
DeepSeek Math 7B Base:
3^3 = <<3^3=27>>27
Expected answer: 27
Correct? Yes
Problem: Calculate the value of 2^3.
DeepSeek Math 7B Base:
2^3 = 2*2*2 = <<2*2*2=8>>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?
DeepSeek Math 7B Base:
3^3 = 3*3*3 = <<3*3*3=27>>27
Expected answer: 27
Correct? Yes
Problem: What is the value of 5^4?
DeepSeek Math 7B Base:
5^4 = 5*5*5*5 = 625
Expected answer: 625
Correct? Yes
Problem: What is the value of 7^3?
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>343
Expected answer: 343
Correct? Yes
Problem: What would the value be if we have 6^3 instead of 7^3?
DeepSeek Math 7B Base:
6^3 = <<6^3=216>>216
Expected answer: 216
Correct? Yes
Problem: What is the value of 10^2?
DeepSeek Math 7B Base:
10^2 = 10*10 = <<10*10=100>>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?
DeepSeek Math 7B Base:
8*2^2 = 8*4 = <<8*4=32>>32
Expected answer: 64
Correct? No
Problem: What is the value of 1 raised to the power of 2?
DeepSeek Math 7B Base:
1 raised to the power of 2 is 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?
DeepSeek Math 7B Base:
6 raised to the power of 2 is 36.
Expected answer: 36
Correct? Yes
Problem: Find the value of 9^3.
DeepSeek Math 7B Base:
9^3 = <<9^3=729>>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.
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>343
Expected answer: 343
Correct? Yes
Problem: What is 1^2 equal to?
DeepSeek Math 7B Base:
1^2 = 1*1 = 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?
DeepSeek Math 7B Base:
3^2 = 3*3 = 9
Expected answer: 9
Correct? Yes
Problem: What is the result when you evaluate 2 raised to the power 2?
DeepSeek Math 7B Base:
2^2 = <<2^2=4>>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?
DeepSeek Math 7B Base:
1^2 = <<1^2=1>>1
Expected answer: 1
Correct? Yes
Problem: What is the result when 4 is squared?
DeepSeek Math 7B Base:
4 squared is 4*4 = <<4*4=16>>16.
Expected answer: 16
Correct? Yes
Problem: What happens to the result when instead of squaring 4, you square 7?
DeepSeek Math 7B Base:
7 squared is 7*7 = <<7*7=49>>49.
Expected answer: 49
Correct? Yes
Problem: What is the value of 7 raised to the power of 3?
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>343
Expected answer: 343
Correct? Yes
Problem: What would be the result if we raise 8 instead of 7 to the power of 3?
DeepSeek Math 7B Base:
8^3 = <<8^3=512>>512
Expected answer: 512
Correct? Yes
Problem: What is the value of 4^3?
DeepSeek Math 7B Base:
4^3 = <<4^3=64>>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?
DeepSeek Math 7B Base:
5^3 = <<5^3=125>>125
Expected answer: 125
Correct? Yes
Problem: What is the value of 1^2?
DeepSeek Math 7B Base:
1^2 = 1*1 = 1
Expected answer: 1
Correct? Yes
Problem: What would be the value if you raised 7 to the power of 2 instead of 1?
DeepSeek Math 7B Base:
7^2 = 7*7 = 49
Expected answer: 49
Correct? Yes
Problem: What is the result of computing 6^2?
DeepSeek Math 7B Base:
6^2 = 6*6 = <<6*6=36>>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?
DeepSeek Math 7B Base:
3^2 = 3*3 = <<3*3=9>>9
Expected answer: 9
Correct? Yes
Problem: What is the result of 2 raised to the power of 2?
DeepSeek Math 7B Base:
2^2 = <<2^2=4>>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?
DeepSeek Math 7B Base:
3^2 = <<3^2=9>>9
Expected answer: 9
Correct? Yes
Problem: What is the value of 4^2?
DeepSeek Math 7B Base:
4^2 = <<4^2=16>>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?
DeepSeek Math 7B Base:
9^2 = <<9^2=81>>81
Expected answer: 81
Correct? Yes
Problem: What is the value of 3^2?
DeepSeek Math 7B Base:
3^2 = 3*3 = <<3*3=9>>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?
DeepSeek Math 7B Base:
8^2 = 8*8 = <<8*8=64>>64
Expected answer: 64
Correct? Yes
Problem: What is the value of 10 raised to the power of 3?
DeepSeek Math 7B Base:
10^3 = 10*10*10 = 1000
Expected answer: 1000
Correct? Yes
Problem: What is the result of 10 raised to the power of 3?
DeepSeek Math 7B Base:
10^3 = <<10^3=1000>>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?
DeepSeek Math 7B Base:
9^3 = <<9^3=729>>729
Expected answer: 729
Correct? Yes
Problem: What's the value of 8^1?
DeepSeek Math 7B Base:
8^1 = <<8^1=8>>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?
DeepSeek Math 7B Base:
10^1 = <<10^1=10>>10
Expected answer: 10
Correct? Yes
Problem: What is the result of 7 to the power of 3?
DeepSeek Math 7B Base:
7 to the power of 3 is 7*7*7 = <<7*7*7=343>>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?
DeepSeek Math 7B Base:
2 to the power of 3 is 2*2*2 = <<2*2*2=8>>8.
Expected answer: 8
Correct? Yes
Problem: What is the result of 2 raised to the power of 2?
DeepSeek Math 7B Base:
2^2 = <<2^2=4>>4
Expected answer: 4
Correct? Yes
Problem: What happens if we consider 6 instead of 2 and raise it to the power of 2?
DeepSeek Math 7B Base:
6^2 = <<6^2=36>>36
Expected answer: 36
Correct? Yes
Problem: What is the value of 5 raised to the power of 3?
DeepSeek Math 7B Base:
5^3 = 5*5*5 = <<5*5*5=125>>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?
DeepSeek Math 7B Base:
4^3 = 4*4*4 = <<4*4*4=64>>64
Expected answer: 64
Correct? Yes
Problem: What is the value of raising 5 to the power of 4?
DeepSeek Math 7B Base:
5^4 = 5*5*5*5 = 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?
DeepSeek Math 7B Base:
1^4 = 1*1*1*1 = 1
Expected answer: 1
Correct? Yes
Problem: What is the result of 3 raised to the power of 5?
DeepSeek Math 7B Base:
3^5 = <<3^5=243>>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?
DeepSeek Math 7B Base:
2^5 = <<2^5=32>>32
Expected answer: 32
Correct? Yes
Problem: What would be the output of 2^2?
DeepSeek Math 7B Base:
2^2 = <<2^2=4>>4
Expected answer: 4
Correct? Yes
Problem: What would be the result if we raised 5 to the power of 2 instead of 2?
DeepSeek Math 7B Base:
5^2 = <<5^2=25>>25
Expected answer: 25
Correct? Yes
Problem: What is the value of 4^2?
DeepSeek Math 7B Base:
4^2 = <<4^2=16>>16
Expected answer: 16
Correct? Yes
Problem: What would be the value if originally, instead of 4^2, it was calculated as 9^2?
DeepSeek Math 7B Base:
9^2 = <<9^2=81>>81
Expected answer: 81
Correct? Yes
Problem: What is the value of 6^2?
DeepSeek Math 7B Base:
6^2 = 6*6 = <<6*6=36>>36
Expected answer: 36
Correct? Yes
Problem: What would be the value if we considered 7^2 instead of 6^2?
DeepSeek Math 7B Base:
7^2 = 7*7 = <<7*7=49>>49
Expected answer: 49
Correct? Yes
Problem: What is the result of 10^3?
DeepSeek Math 7B Base:
10^3 = <<10^3=1000>>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?
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>343
Expected answer: 343
Correct? Yes
Problem: What is the value of 4 ^ 2 in mathematics?
DeepSeek Math 7B Base:
4^2 = 4*4 = <<4*4=16>>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?
DeepSeek Math 7B Base:
6^2 = 6*6 = <<6*6=36>>36
Expected answer: 36
Correct? Yes
Problem: What is the outcome when 10 is raised to the power of 3?
DeepSeek Math 7B Base:
10^3 = <<10^3=1000>>1000
Expected answer: 1000
Correct? Yes
Problem: What would be the outcome if instead of 10, we raised 1 to the power of 3?
DeepSeek Math 7B Base:
1^3 = <<1^3=1>>1
Expected answer: 1
Correct? Yes
Problem: What is the value of 7 raised to the power of 3?
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>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?
DeepSeek Math 7B Base:
3^3 = <<3^3=27>>27
Expected answer: 27
Correct? Yes
Problem: What is the result of 8 raised to the power of 2?
DeepSeek Math 7B Base:
8^2 = <<8^2=64>>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?
DeepSeek Math 7B Base:
7^2 = <<7^2=49>>49
Expected answer: 49
Correct? Yes
Problem: What is the cubed value of 7?
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>343
Expected answer: 343
Correct? Yes
Problem: What would be the result if instead of cubing 7, you cubed 6?
DeepSeek Math 7B Base:
6^3 = <<6^3=216>>216
Expected answer: 216
Correct? Yes
Problem: What is the result of 8 raised to the power of 2?
DeepSeek Math 7B Base:
8^2 = <<8^2=64>>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?
DeepSeek Math 7B Base:
6^2 = <<6^2=36>>36
Expected answer: 36
Correct? Yes
Problem: What is the result of 2 raised to the power 3?
DeepSeek Math 7B Base:
2^3 = <<2^3=8>>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.
DeepSeek Math 7B Base:
5^3 = <<5^3=125>>125
Expected answer: 125
Correct? Yes
Problem: Calculate the value of 5 raised to the power of 2.
DeepSeek Math 7B Base:
5^2 = 5*5 = <<5*5=25>>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.
DeepSeek Math 7B Base:
4^2 = 4*4 = <<4*4=16>>16
Expected answer: 16
Correct? Yes
Problem: What is the result when 7 is raised to the power of 2?
DeepSeek Math 7B Base:
7^2 = <<7^2=49>>49
Expected answer: 49
Correct? Yes
Problem: What would happen if instead of 7, we raised 10 to the power of 2?
DeepSeek Math 7B Base:
10^2 = <<10^2=100>>100
Expected answer: 100
Correct? Yes
Problem: What is the value of 10 raised to the power of 2?
DeepSeek Math 7B Base:
10^2 = 10*10 = <<10*10=100>>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?
DeepSeek Math 7B Base:
2^2 = 2*2 = <<2*2=4>>4
Expected answer: 4
Correct? Yes
Problem: What is the value of 6^2?
DeepSeek Math 7B Base:
6^2 = 6*6 = <<6*6=36>>36
Expected answer: 36
Correct? Yes
Problem: What would be the value if you raise 9 to the power of 2 instead of 6?
DeepSeek Math 7B Base:
9^2 = 9*9 = <<9*9=81>>81
Expected answer: 81
Correct? Yes
Problem: What is the value of the expression 3^3?
DeepSeek Math 7B Base:
3^3 = <<3^3=27>>27
Expected answer: 27
Correct? Yes
Problem: What would be the result if, instead of 3, we raised 5 to the power of 3?
DeepSeek Math 7B Base:
5^3 = <<5^3=125>>125
Expected answer: 125
Correct? Yes
Problem: What is the result when you calculate 1^3?
DeepSeek Math 7B Base:
1^3 = 1*1*1 = 1
Expected answer: 1
Correct? Yes
Problem: What would be the result if we raised 9 to the power of 3 instead of 1?
DeepSeek Math 7B Base:
9^3 = 9*9*9 = 729
Expected answer: 729
Correct? Yes
Problem: What is the result of 3 raised to the power of 6?
DeepSeek Math 7B Base:
3^6 = <<3^6=729>>729
Expected answer: 729
Correct? Yes
Problem: What would be the value if we instead raised 3 to the power of 1?
DeepSeek Math 7B Base:
3^1 = <<3^1=3>>3
Expected answer: 3
Correct? Yes
Problem: What is the value of 3^5?
DeepSeek Math 7B Base:
3^5 = 3*3*3*3*3 = <<3*3*3*3*3=243>>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?
DeepSeek Math 7B Base:
3^1 = 3
Expected answer: 3
Correct? Yes
Problem: What is the cubic value of 8, expressed as 8^3?
DeepSeek Math 7B Base:
8^3 = <<8^3=512>>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?
DeepSeek Math 7B Base:
1^3 = <<1^3=1>>1
Expected answer: 1
Correct? Yes
Problem: Calculate the value of 9^2.
DeepSeek Math 7B Base:
9^2 = 9*9 = <<9*9=81>>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?
DeepSeek Math 7B Base:
5^2 = 5*5 = <<5*5=25>>25
Expected answer: 25
Correct? Yes
Problem: What is the exponential value of 2 to the power of 2?
DeepSeek Math 7B Base:
Reasoning: 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?
DeepSeek Math 7B Base:
Reasoning: 2 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.
DeepSeek Math 7B Base:
5 squared is 5*5 = <<5*5=25>>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?
DeepSeek Math 7B Base:
3 squared is 3*3 = <<3*3=9>>9.
Expected answer: 9
Correct? Yes
Problem: What is the value of 8 raised to the power 2?
DeepSeek Math 7B Base:
8^2 = <<8^2=64>>64
Expected answer: 64
Correct? Yes
Problem: What is the square of 7?
DeepSeek Math 7B Base:
7^2 = <<7^2=49>>49
Expected answer: 49
Correct? Yes
Problem: What is the value when 8 is raised to the power of 3?
DeepSeek Math 7B Base:
8^3 = <<8^3=512>>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?
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>343
Expected answer: 343
Correct? Yes
Problem: What is the value of 3 raised to the power of 3?
DeepSeek Math 7B Base:
3^3 = <<3^3=27>>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?
DeepSeek Math 7B Base:
2^3 = <<2^3=8>>8
Expected answer: 8
Correct? Yes
Problem: What is the cube of 9?
DeepSeek Math 7B Base:
The cube of 9 is 9*9*9 = <<9*9*9=729>>729.
Expected answer: 729
Correct? Yes
Problem: What would the cube be if we considered 3 instead of 9?
DeepSeek Math 7B Base:
The cube of 3 is 3*3*3 = <<3*3*3=27>>27.
Expected answer: 27
Correct? Yes
Problem: What is the result of raising 9 to the third power?
DeepSeek Math 7B Base:
9^3 = <<9^3=729>>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?
DeepSeek Math 7B Base:
3^3 = <<3^3=27>>27
Expected answer: 27
Correct? Yes
Problem: What is the result of 6 raised to the power of 3?
DeepSeek Math 7B Base:
6^3 = <<6^3=216>>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?"
DeepSeek Math 7B Base:
10^3 = <<10^3=1000>>1000
Expected answer: 1000
Correct? Yes
Problem: What is 9 squared, or 9^2?
DeepSeek Math 7B Base:
9^2 = 9*9 = <<9*9=81>>81
Expected answer: 81
Correct? Yes
Problem: What would the result be if we squared a smaller number, like 4^2?
DeepSeek Math 7B Base:
4^2 = 4*4 = <<4*4=16>>16
Expected answer: 16
Correct? Yes
Problem: Evaluate the expression 5^3.
DeepSeek Math 7B Base:
5^3 = 5*5*5 = <<5*5*5=125>>125.
Expected answer: 125
Correct? Yes
Problem: What is the value of 8 raised to the power of 2?
DeepSeek Math 7B Base:
8^2 = <<8^2=64>>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?
DeepSeek Math 7B Base:
10^2 = <<10^2=100>>100
Expected answer: 100
Correct? Yes
Problem: What is the value when 10 is raised to the power of 3?
DeepSeek Math 7B Base:
10^3 = <<10^3=1000>>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?
DeepSeek Math 7B Base:
2^3 = <<2^3=8>>8
Expected answer: 8
Correct? Yes
Problem: What is the value of 9 raised to the power of 3?
DeepSeek Math 7B Base:
9^3 = 9*9*9 = 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?
DeepSeek Math 7B Base:
7^3 = 7*7*7 = 343
Expected answer: 343
Correct? Yes
Problem: What is the value of 7^3?
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>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?
DeepSeek Math 7B Base:
1^3 = <<1^3=1>>1
Expected answer: 1
Correct? Yes
Problem: What is the value of 5 raised to the power of 3?
DeepSeek Math 7B Base:
5^3 = 5*5*5 = <<5*5*5=125>>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?
DeepSeek Math 7B Base:
2^3 = 2*2*2 = <<2*2*2=8>>8
Expected answer: 8
Correct? Yes
Problem: What is the value of 7^3?
DeepSeek Math 7B Base:
7^3 = <<7^3=343>>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?
DeepSeek Math 7B Base:
9^3 = <<9^3=729>>729
Expected answer: 729
Correct? Yes
Problem: What is the result when 1 is raised to the 5th power?
DeepSeek Math 7B Base:
1 raised to the 5th power is 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?
DeepSeek Math 7B Base:
1 raised to the 9th power is 1.
Expected answer: 1
Correct? Yes