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?
CodeLlama 13B:
Reasoning: 5^4 = 5 × 5 × 5 × 5 = 625. ### Answer: 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?
CodeLlama 13B:
Reasoning: 4^4 = 4 × 4 × 4 × 4 = 256. ### Answer: 256
Expected answer: 256
Correct? Yes
Problem: What is 9 raised to the power of 3?
CodeLlama 13B:
Reasoning: 9^3 = 9 x 9 x 9 = 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?
CodeLlama 13B:
Reasoning: 6^3 = 6 x 6 x 6 = 216. ### Answer: 216
Expected answer: 216
Correct? Yes
Problem: What is the cube of 5?
CodeLlama 13B:
The cube of 5 is 125. Reasoning: To find the cube of a number, you multiply it by itself three times. In this case, 5 multiplied by itself three times is 5 x 5 x 5 = 125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value if we are cubing 7 instead of 5?
CodeLlama 13B:
The cube of 7 is 343. Reasoning: To find the cube of a number, you multiply it by itself three times. In this case, 7 multiplied by itself three times is 7 x 7 x 7 = 343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the result of raising 9 to the power of 2?
CodeLlama 13B:
Reasoning: 9^2 = 9 x 9 = 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?
CodeLlama 13B:
Reasoning: 8^2 = 8 x 8 = 64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Determine the value of 3 to the power of 3.
CodeLlama 13B:
Reasoning: 3 to the power of 3 is equal to 3 multiplied by itself 3 times, which is equal to 3 x 3 x 3 = 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?
CodeLlama 13B:
Reasoning: If the base is 5 instead of 3, then 5 to the power of 3 is equal to 5 multiplied by itself 3 times, which is equal to 5 x 5 x 5 = 125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value when 9 is raised to the power of 2?
CodeLlama 13B:
When 9 is raised to the power of 2, the result is 81. 9^2 = 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?
CodeLlama 13B:
If we raise 4 to the power of 2, the result is 16. 4^2 = 16 ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Calculate the result of 9^2.
CodeLlama 13B:
Reasoning: 9^2 = 9 × 9 = 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?
CodeLlama 13B:
Reasoning: 7^2 = 7 × 7 = 49. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Determine the value of 10^3.
CodeLlama 13B:
The value of 10^3 is 1000.
Expected answer: 1000
Correct? Yes
Problem: What is the value of 6 squared, or 6^2?
CodeLlama 13B:
The value of 6 squared, or 6^2, is 36.
Expected answer: 36
Correct? Yes
Problem: What is the result of 3 raised to the power of 3?
CodeLlama 13B:
Reasoning: 3^3 = 3 × 3 × 3 = 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?
CodeLlama 13B:
Reasoning: 6^3 = 6 × 6 × 6 = 216. ### Answer: 216
Expected answer: 216
Correct? Yes
Problem: What is 10 raised to the power of 2?
CodeLlama 13B:
Reasoning: 10 raised to the power of 2 is equal to 10 x 10 = 100. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: What happens if we instead consider 4 raised to the power of 2?
CodeLlama 13B:
Reasoning: 4 raised to the power of 2 is equal to 4 x 4 = 16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the value of 9 raised to the power of 3?
CodeLlama 13B:
Reasoning: 9^3 = 9 x 9 x 9 = 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?
CodeLlama 13B:
Reasoning: 5^3 = 5 x 5 x 5 = 125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value of 2^2?
CodeLlama 13B:
The value of 2^2 is 4.
Expected answer: 4
Correct? Yes
Problem: What is the value when the number 7 is raised to the power of 2?
CodeLlama 13B:
The value of 7 raised to the power of 2 is 49. 7^2 = 49
Expected answer: 49
Correct? Yes
Problem: What is the value of 8 raised to the power of 3?
CodeLlama 13B:
Reasoning: 8^3 = 8 x 8 x 8 = 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?
CodeLlama 13B:
Reasoning: 7^3 = 7 x 7 x 7 = 343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the value of 3^2?
CodeLlama 13B:
The value of 3^2 is 9.
Expected answer: 9
Correct? Yes
Problem: What is the value when 9 is raised to the power of 2?
CodeLlama 13B:
When 9 is raised to the power of 2, the result is 81. 9^2 = 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?
CodeLlama 13B:
If we raise 6 to the power of 2, the result is 36. 6^2 = 36 ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: What is the value of 5 cubed?
CodeLlama 13B:
The value of 5 cubed is 125.
Expected answer: 125
Correct? Yes
Problem: What is the outcome when 5 is raised to the power of 2?
CodeLlama 13B:
When 5 is raised to the power of 2, the outcome is 25. Explanation: 5^2 = 5 × 5 = 25
Expected answer: 25
Correct? Yes
Problem: What is the value when you raise 5 to the power of 2?
CodeLlama 13B:
The value of 5 raised to the power of 2 is 25. 5^2 = 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?
CodeLlama 13B:
If we raise 8 to the power of 2, we get: 8^2 = 64 ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the result of 2 raised to the power of 3?
CodeLlama 13B:
Reasoning: 2 raised to the power of 3 is equal to 2 x 2 x 2 = 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?
CodeLlama 13B:
Reasoning: 10 raised to the power of 3 is equal to 10 x 10 x 10 = 1000. ### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: What is the result of 1^3?
CodeLlama 13B:
The result of 1^3 is 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?
CodeLlama 13B:
If we take the new number 3 and raise it to the power of 3, we get: 3^3 = 27 So, the result of raising 3 to the power of 3 is 27.
Expected answer: 27
Correct? Yes
Problem: What is the value of 1 raised to the power of 9?
CodeLlama 13B:
The value of 1 raised to the power of 9 is 1. Explanation: 1^9 = 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?
CodeLlama 13B:
If we change the exponent from 9 to 6 and compute the value of 1 raised to the power of 6, the result would be 1. Explanation: 1^6 = 1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the result of 8^3?
CodeLlama 13B:
Reasoning: 8^3 = 8 × 8 × 8 = 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?
CodeLlama 13B:
Reasoning: 5^3 = 5 × 5 × 5 = 125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the result when 1 is raised to the power of 2?
CodeLlama 13B:
The result of raising 1 to the power of 2 is 1. 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?
CodeLlama 13B:
The result of raising 4 to the power of 2 is 16. 4^2 = 16
Expected answer: 16
Correct? Yes
Problem: What is the result of 2^2?
CodeLlama 13B:
The result of 2^2 is 4.
Expected answer: 4
Correct? Yes
Problem: What is 8 raised to the power of 2?
CodeLlama 13B:
Reasoning: 8^2 = 8 × 8 = 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?
CodeLlama 13B:
Reasoning: 1^2 = 1 × 1 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the result of 2 raised to the power of 3?
CodeLlama 13B:
Reasoning: 2 raised to the power of 3 is equal to 2 x 2 x 2 = 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?
CodeLlama 13B:
Reasoning: 7 raised to the power of 3 is equal to 7 x 7 x 7 = 343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the value of 8^2?
CodeLlama 13B:
The value of 8^2 is 64.
Expected answer: 64
Correct? Yes
Problem: What is the result of 6 to the power of 3?
CodeLlama 13B:
Reasoning: 6^3 = 6 x 6 x 6 = 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?
CodeLlama 13B:
Reasoning: 6^1 = 6 x 1 = 6. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: What is the value when 7 is raised to the power of 1?
CodeLlama 13B:
The value of 7 raised to the power of 1 is 7. 7^1 = 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?
CodeLlama 13B:
The value of 7 raised to the power of 3 is 343. 7^3 = 343
Expected answer: 343
Correct? Yes
Problem: What is the result of 2 raised to the power of 2?
CodeLlama 13B:
Reasoning: 2 raised to the power of 2 is equal to 2 multiplied by 2, which is equal to 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?
CodeLlama 13B:
Reasoning: 4 raised to the power of 2 is equal to 4 multiplied by 4, which is equal to 16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the value of 4^2?
CodeLlama 13B:
The value of 4^2 is 16.
Expected answer: 16
Correct? Yes
Problem: What is the value of 9^2?
CodeLlama 13B:
Reasoning: 9^2 = 9 × 9 = 81. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: What would be the value if instead of 9^2, we calculated 4^2?
CodeLlama 13B:
Reasoning: 4^2 = 4 × 4 = 16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the value of 5^3?
CodeLlama 13B:
Reasoning: 5^3 = 5 × 5 × 5 = 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?
CodeLlama 13B:
Reasoning: 7^3 = 7 × 7 × 7 = 343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the result when 7 is raised to the power of 3?
CodeLlama 13B:
Reasoning: 7^3 = 7 × 7 × 7 = 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?
CodeLlama 13B:
Reasoning: 9^3 = 9 × 9 × 9 = 729. ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: What is the calculation result of 2^2?
CodeLlama 13B:
The calculation result of 2^2 is 4.
Expected answer: 4
Correct? Yes
Problem: What is the value when 4 is raised to the power of 3?
CodeLlama 13B:
The value of 4 raised to the power of 3 is 4^3 = 64.
Expected answer: 64
Correct? Yes
Problem: Calculate the value of 2^3.
CodeLlama 13B:
Reasoning: 2^3 = 2 × 2 × 2 = 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?
CodeLlama 13B:
Reasoning: 3^3 = 3 × 3 × 3 = 27. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: What is the value of 5^4?
CodeLlama 13B:
Reasoning: 5^4 = 5 × 5 × 5 × 5 = 625. ### Answer: 625
Expected answer: 625
Correct? Yes
Problem: What is the value of 7^3?
CodeLlama 13B:
The value of 7^3 is 343.
Expected answer: 343
Correct? Yes
Problem: What is the value of 10^2?
CodeLlama 13B:
The value of 10^2 is 100.
Expected answer: 100
Correct? Yes
Problem: What is the value of 1 raised to the power of 2?
CodeLlama 13B:
The value of 1 raised to the power of 2 is 1. Explanation: 1^2 = 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?
CodeLlama 13B:
If the base is changed to 6, the result of 6 raised to the power of 2 is 36. Explanation: 6^2 = 36 ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Find the value of 9^3.
CodeLlama 13B:
Reasoning: 9^3 = 9 × 9 × 9 = 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.
CodeLlama 13B:
Reasoning: 7^3 = 7 × 7 × 7 = 343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is 1^2 equal to?
CodeLlama 13B:
Reasoning: 1^2 = 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?
CodeLlama 13B:
Reasoning: 3^2 = 3 × 3 = 9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: What is the result when you evaluate 2 raised to the power 2?
CodeLlama 13B:
When you evaluate 2 raised to the power 2, you get 2 x 2 = 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?
CodeLlama 13B:
If we consider 1 raised to the power 2, we get 1 x 1 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the result when 4 is squared?
CodeLlama 13B:
When 4 is squared, the result is 16. 4 × 4 = 16 ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What happens to the result when instead of squaring 4, you square 7?
CodeLlama 13B:
When 7 is squared, the result is 49. 7 × 7 = 49 ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: What is the value of 7 raised to the power of 3?
CodeLlama 13B:
Reasoning: 7^3 = 7 x 7 x 7 = 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?
CodeLlama 13B:
Reasoning: 8^3 = 8 x 8 x 8 = 512. ### Answer: 512
Expected answer: 512
Correct? Yes
Problem: What is the value of 4^3?
CodeLlama 13B:
The value of 4^3 is 4 × 4 × 4 = 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?
CodeLlama 13B:
The value of 5^3 is 5 × 5 × 5 = 125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value of 1^2?
CodeLlama 13B:
The value of 1^2 is 1. Explanation: When we raise a number to the power of 2, we are multiplying it by itself. In this case, 1 multiplied by itself is still 1. Therefore, the value of 1^2 is 1.
Expected answer: 1
Correct? Yes
Problem: What would be the value if you raised 7 to the power of 2 instead of 1?
CodeLlama 13B:
If you raise 7 to the power of 2, you would get 7 x 7 = 49. Explanation: When we raise a number to the power of 2, we are multiplying it by itself. In this case, 7 multiplied by itself is 7 x 7 = 49. Therefore, the value of 7^2 is 49.
Expected answer: 49
Correct? Yes
Problem: What is the result of computing 6^2?
CodeLlama 13B:
The result of computing 6^2 is 36.
Expected answer: 36
Correct? Yes
Problem: What is the result of 2 raised to the power of 2?
CodeLlama 13B:
Reasoning: 2 raised to the power of 2 is equal to 2 multiplied by 2, which is equal to 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?
CodeLlama 13B:
Reasoning: 3 raised to the power of 2 is equal to 3 multiplied by 3, which is equal to 9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: What is the value of 4^2?
CodeLlama 13B:
The value of 4^2 is 16.
Expected answer: 16
Correct? Yes
Problem: What is the value of 3^2?
CodeLlama 13B:
The value of 3^2 is 9.
Expected answer: 9
Correct? Yes
Problem: What is the value of 10 raised to the power of 3?
CodeLlama 13B:
Reasoning: 10^3 = 10 x 10 x 10 = 1000. ### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: What is the result of 10 raised to the power of 3?
CodeLlama 13B:
Reasoning: 10 raised to the power of 3 is equal to 10 x 10 x 10 = 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?
CodeLlama 13B:
Reasoning: 9 raised to the power of 3 is equal to 9 x 9 x 9 = 729. ### Answer: 729
Expected answer: 729
Correct? Yes
Problem: What's the value of 8^1?
CodeLlama 13B:
The value of 8^1 is 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?
CodeLlama 13B:
Sure! If we evaluate 10^1, we get: 10^1 = 10 So the value of 10^1 is 10.
Expected answer: 10
Correct? Yes
Problem: What is the result of 7 to the power of 3?
CodeLlama 13B:
Reasoning: 7^3 = 7 x 7 x 7 = 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?
CodeLlama 13B:
Reasoning: 2^3 = 2 x 2 x 2 = 8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: What is the result of 2 raised to the power of 2?
CodeLlama 13B:
Reasoning: 2 raised to the power of 2 is equal to 2 multiplied by 2, which is equal to 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?
CodeLlama 13B:
Reasoning: 6 raised to the power of 2 is equal to 6 multiplied by 6, which is equal to 36. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: What is the value of 5 raised to the power of 3?
CodeLlama 13B:
Reasoning: 5 raised to the power of 3 is equal to 5 x 5 x 5 = 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?
CodeLlama 13B:
Reasoning: If the base is 4, then 4 raised to the power of 3 is equal to 4 x 4 x 4 = 64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the value of raising 5 to the power of 4?
CodeLlama 13B:
Reasoning: 5^4 = 5 x 5 x 5 x 5 = 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?
CodeLlama 13B:
Reasoning: 1^4 = 1 x 1 x 1 x 1 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the result of 3 raised to the power of 5?
CodeLlama 13B:
Reasoning: 3^5 = 3 × 3 × 3 × 3 × 3 = 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?
CodeLlama 13B:
Reasoning: 2^5 = 2 × 2 × 2 × 2 × 2 = 32. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: What would be the output of 2^2?
CodeLlama 13B:
The output of 2^2 would be 4.
Expected answer: 4
Correct? Yes
Problem: What is the value of 4^2?
CodeLlama 13B:
The value of 4^2 is 16.
Expected answer: 16
Correct? Yes
Problem: What is the value of 6^2?
CodeLlama 13B:
The value of 6^2 is 36.
Expected answer: 36
Correct? Yes
Problem: What is the result of 10^3?
CodeLlama 13B:
The result of 10^3 is 1000.
Expected answer: 1000
Correct? Yes
Problem: What is the value of 4 ^ 2 in mathematics?
CodeLlama 13B:
The value of 4^2 in mathematics is 16.
Expected answer: 16
Correct? Yes
Problem: What is the outcome when 10 is raised to the power of 3?
CodeLlama 13B:
The outcome when 10 is raised to the power of 3 is 1000.
Expected answer: 1000
Correct? Yes
Problem: What is the value of 7 raised to the power of 3?
CodeLlama 13B:
Reasoning: 7^3 = 7 x 7 x 7 = 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?
CodeLlama 13B:
Reasoning: 3^3 = 3 x 3 x 3 = 27. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: What is the result of 8 raised to the power of 2?
CodeLlama 13B:
The result of 8 raised to the power of 2 is 64.
Expected answer: 64
Correct? Yes
Problem: What is the cubed value of 7?
CodeLlama 13B:
The cubed value of 7 is 7^3 = 343.
Expected answer: 343
Correct? Yes
Problem: What is the result of 8 raised to the power of 2?
CodeLlama 13B:
The result of 8 raised to the power of 2 is 64.
Expected answer: 64
Correct? Yes
Problem: What is the result of 2 raised to the power 3?
CodeLlama 13B:
Reasoning: 2 raised to the power 3 is equal to 2 x 2 x 2 = 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.
CodeLlama 13B:
Reasoning: 5 raised to the power 3 is equal to 5 x 5 x 5 = 125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: Calculate the value of 5 raised to the power of 2.
CodeLlama 13B:
Reasoning: 5 raised to the power of 2 is equal to 5 multiplied by itself, which is equal to 5 x 5 = 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.
CodeLlama 13B:
Reasoning: 4 raised to the power of 2 is equal to 4 multiplied by itself, which is equal to 4 x 4 = 16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the result when 7 is raised to the power of 2?
CodeLlama 13B:
When 7 is raised to the power of 2, the result is 49. 7^2 = 49
Expected answer: 49
Correct? Yes
Problem: What is the value of 10 raised to the power of 2?
CodeLlama 13B:
The value of 10 raised to the power of 2 is 100. Reasoning: 10^2 = 10 x 10 = 100
Expected answer: 100
Correct? Yes
Problem: What is the value of 6^2?
CodeLlama 13B:
The value of 6^2 is 36.
Expected answer: 36
Correct? Yes
Problem: What is the value of the expression 3^3?
CodeLlama 13B:
The value of the expression 3^3 is 27. Reasoning: 3^3 = 3 × 3 × 3 = 27
Expected answer: 27
Correct? Yes
Problem: What is the result when you calculate 1^3?
CodeLlama 13B:
The result of calculating 1^3 is 1.
Expected answer: 1
Correct? Yes
Problem: What would be the result if we raised 9 to the power of 3 instead of 1?
CodeLlama 13B:
If we raise 9 to the power of 3, we get 9^3 = 729.
Expected answer: 729
Correct? Yes
Problem: What is the result of 3 raised to the power of 6?
CodeLlama 13B:
Reasoning: 3^6 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 × 3 =
Expected answer: 729
Correct? Yes
Problem: What is the value of 3^5?
CodeLlama 13B:
The value of 3^5 is 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 = 3 × 3 × 3 × 3 × 3 =
Expected answer: 243
Correct? No
Problem: What is the cubic value of 8, expressed as 8^3?
CodeLlama 13B:
The cubic value of 8 is 8^3, which is equal to 512.
Expected answer: 512
Correct? Yes
Problem: Calculate the value of 9^2.
CodeLlama 13B:
Reasoning: 9^2 = 9 × 9 = 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?
CodeLlama 13B:
Reasoning: 5^2 = 5 × 5 = 25. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: What is the exponential value of 2 to the power of 2?
CodeLlama 13B:
The exponential value of 2 to the power of 2 is 4. Explanation: 2^2 = 2 × 2 = 4
Expected answer: 4
Correct? Yes
Problem: Calculate the value of 5 squared.
CodeLlama 13B:
Reasoning: 5 squared is equal to 5 × 5 = 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?
CodeLlama 13B:
Reasoning: 3 squared is equal to 3 × 3 = 9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: What is the value of 8 raised to the power 2?
CodeLlama 13B:
Reasoning: 8^2 = 8 × 8 = 64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the square of 7?
CodeLlama 13B:
Reasoning: 7^2 = 7 × 7 = 49. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: What is the value when 8 is raised to the power of 3?
CodeLlama 13B:
The value of 8 raised to the power of 3 is 512.
Expected answer: 512
Correct? Yes
Problem: What is the value of 3 raised to the power of 3?
CodeLlama 13B:
Reasoning: 3^3 = 3 × 3 × 3 = 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?
CodeLlama 13B:
Reasoning: 2^3 = 2 × 2 × 2 = 8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: What is the cube of 9?
CodeLlama 13B:
The cube of 9 is 729.
Expected answer: 729
Correct? Yes
Problem: What is the result of raising 9 to the third power?
CodeLlama 13B:
Reasoning: 9^3 = 9 × 9 × 9 = 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?
CodeLlama 13B:
Reasoning: 3^3 = 3 × 3 × 3 = 27. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: What is the result of 6 raised to the power of 3?
CodeLlama 13B:
Reasoning: 6^3 = 6 × 6 × 6 = 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?"
CodeLlama 13B:
Reasoning: 10^3 = 10 × 10 × 10 = 1000. ### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: What is 9 squared, or 9^2?
CodeLlama 13B:
Reasoning: 9^2 = 9 x 9 = 81. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: What would the result be if we squared a smaller number, like 4^2?
CodeLlama 13B:
Reasoning: 4^2 = 4 x 4 = 16. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Evaluate the expression 5^3.
CodeLlama 13B:
Reasoning: 5^3 = 5 × 5 × 5 = 125 ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value of 8 raised to the power of 2?
CodeLlama 13B:
Reasoning: 8^2 = 8 × 8 = 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?
CodeLlama 13B:
Reasoning: 10^2 = 10 × 10 = 100. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: What is the value when 10 is raised to the power of 3?
CodeLlama 13B:
The value of 10 raised to the power of 3 is 1000.
Expected answer: 1000
Correct? Yes
Problem: What is the value of 9 raised to the power of 3?
CodeLlama 13B:
Reasoning: 9^3 = 9 x 9 x 9 = 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?
CodeLlama 13B:
Reasoning: 7^3 = 7 x 7 x 7 = 343. ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the value of 7^3?
CodeLlama 13B:
The value of 7^3 is 343.
Expected answer: 343
Correct? Yes
Problem: What is the value of 5 raised to the power of 3?
CodeLlama 13B:
Reasoning: 5 raised to the power of 3 is equal to 5 x 5 x 5 = 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?
CodeLlama 13B:
Reasoning: 2 raised to the power of 3 is equal to 2 x 2 x 2 = 8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: What is the value of 7^3?
CodeLlama 13B:
The value of 7^3 is 343.
Expected answer: 343
Correct? Yes
Problem: What is the result when 1 is raised to the 5th power?
CodeLlama 13B:
The result of raising 1 to the 5th power is 1. 1^5 = 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?
CodeLlama 13B:
The result of raising 1 to the 9th power is 1. 1^9 = 1 ### Answer: 1
Expected answer: 1
Correct? Yes