MathCAMPS

🔗 Problem

Problem: What is the value of 5^4?

Gemma 2B:

Reasoning: 5^4 = 5 * 5 * 5 * 5 = 25 * 5 = 125.
### Answer: 125

Expected answer: 625

Correct? No

🔗 Problem

Problem: What is 9 raised to the power of 3?

Gemma 2B:

Reasoning: 9^3 = 9 * 9 * 9 = 729.
### Answer: 729

Expected answer: 729

Correct? Yes

🔗 Follow-up

Problem: What would the outcome be if we raise 6 to the power of 3, instead of 9?

Gemma 2B:

### Answer: 216

Expected answer: 216

Correct? Yes

🔗 Problem

Problem: What is the cube of 5?

Gemma 2B:

Reasoning: The cube of 5 is 5 * 5 * 5 = 25.
### Answer: 25

Expected answer: 125

Correct? No

🔗 Problem

Problem: What is the result of raising 9 to the power of 2?

Gemma 2B:

Reasoning: 9^2 = 9 * 9 = 81.
### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: What would be the result if we raise 8 to the power of 2 instead of 9?

Gemma 2B:

### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: Determine the value of 3 to the power of 3.

Gemma 2B:

Reasoning: 3^3 = 3 * 3 * 3 = 27.
### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Problem

Problem: What is the value when 9 is raised to the power of 2?

Gemma 2B:

Reasoning: 9^2 = <<9^2=81>>81.
### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: Considering our previous problem, if instead of 9 we raise 4 to the power of 2, what would be the value?

Gemma 2B:

### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: Calculate the result of 9^2.

Gemma 2B:

Reasoning: 9^2 = 9 * 9 = 81.
### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: After learning about the calculation of 9^2, can you now tell me what is the result of 7^2?

Gemma 2B:

### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: Determine the value of 10^3.

Gemma 2B:

Reasoning: 10^3 = 10 * 10 * 10 = 1000.
### Answer: 1000

Expected answer: 1000

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: What is the value of 6 squared, or 6^2?

Gemma 2B:

Reasoning: 6^2 = 6 * 6 = 36.
### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: What would the value be if instead of 6, we have 4 squared or 4^2?

Gemma 2B:

### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: What is the result of 3 raised to the power of 3?

Gemma 2B:

Reasoning: 3^3 = <<3^3=27>>27.
### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 216

Expected answer: 216

Correct? Yes

🔗 Problem

Problem: What is 10 raised to the power of 2?

Gemma 2B:

Reasoning: 10^2 = <<10^2=100>>100.
### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Follow-up

Problem: What happens if we instead consider 4 raised to the power of 2?

Gemma 2B:

### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: What is the value of 9 raised to the power of 3?

Gemma 2B:

Reasoning: 9^3 = 9 * 9 * 9 = 729.
### Answer: 729

Expected answer: 729

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Problem

Problem: What is the value of 2^2?

Gemma 2B:

Reasoning: 2^2 = <<2^2=4>>4.
The value of 2^2 is 4.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: What is the value when the number 7 is raised to the power of 2?

Gemma 2B:

Reasoning: 7^2 = <<7^2=49>>49.
Therefore, 7^2 = 49.

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: What is the value of 8 raised to the power of 3?

Gemma 2B:

Reasoning: 8^3 = (8^2)^(3/2) = 64^(3/2) = 8^(3/2).
### Answer: 8^(3/2)

Expected answer: 512

Correct? No

🔗 Problem

Problem: What is the value of 3^2?

Gemma 2B:

Reasoning: 3^2 = 3 * 3 = 9.
### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Follow-up

Problem: Now, what if instead you were to calculate the square of 8? What would be the value of 8^2?

Gemma 2B:

### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: What is the value when 9 is raised to the power of 2?

Gemma 2B:

Reasoning: 9^2 = <<9^2=81>>81.
### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: What would be the result if instead of raising 9 to the power of 2, we raised 6 to the power of 2?

Gemma 2B:

### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: What is the value of 5 cubed?

Gemma 2B:

Reasoning: 5^3 = 5 * 5 * 5 = 125.
### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Follow-up

Problem: What is the value if we consider a cube with a side length of 8 units instead of 5 units?

Gemma 2B:

### Answer: 64

Expected answer: 512

Correct? No

🔗 Problem

Problem: What is the outcome when 5 is raised to the power of 2?

Gemma 2B:

Reasoning: 5^2 = 5 * 5 = 25.
### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: What is the outcome when 4 is raised to the power of 2, instead of 5?

Gemma 2B:

### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: What is the value when you raise 5 to the power of 2?

Gemma 2B:

Reasoning: 5^2 = 5 * 5 = 25.
### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: Following from the previous problem, what would be the value if we raised 8 to the power of 2 instead of 5?

Gemma 2B:

### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: What is the result of 2 raised to the power of 3?

Gemma 2B:

Reasoning: 2^3 = 2 * 2 * 2 = 8.
### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 1000

Expected answer: 1000

Correct? Yes

🔗 Problem

Problem: What is the result of 1^3?

Gemma 2B:

Reasoning: 1^3 = 1.
The result of 1^3 is 1.

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: Given what you have learned, what happens if you take the new number 3 and raise it to the power of 3 instead?

Gemma 2B:

### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Problem

Problem: What is the value of 1 raised to the power of 9?

Gemma 2B:

Reasoning: 1^9 = 1.
### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: What is the result of 8^3?

Gemma 2B:

Reasoning: 8^3 = 8*8*8 = 512.
### Answer: 512

Expected answer: 512

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Problem

Problem: What is the result when 1 is raised to the power of 2?

Gemma 2B:

Reasoning: 1^2 = <<1^2=1>>1.
The result when 1 is raised to the power of 2 is 1.

Expected answer: 1

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 4

Expected answer: 16

Correct? No

🔗 Problem

Problem: What is the result of 2^2?

Gemma 2B:

Reasoning: 2^2 = <<2^2=4>>4.
The result of 2^2 is 4.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: What is 8 raised to the power of 2?

Gemma 2B:

Reasoning: 8^2 = <<8^2=64>>64.
### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: What would be the result if we took one instead of eight and raised it to the power of 2?

Gemma 2B:

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: What is the result of 2 raised to the power of 3?

Gemma 2B:

Reasoning: 2^3 = 2 * 2 * 2 = 8.
### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: What would the result be if you raised 7 to the power of 3 instead of 2 in the previous problem?

Gemma 2B:

### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Problem

Problem: What is the value of 8^2?

Gemma 2B:

Reasoning: 8^2 = 8 * 8 = 64.
### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: What would be the value if you squared 1 instead of 8?

Gemma 2B:

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: What is the result of 6 to the power of 3?

Gemma 2B:

Reasoning: 6^3 = 6 * 6 * 6 = 216.
### Answer: 216

Expected answer: 216

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, what would be the result if we evaluate 6 to the power of 1 instead of 3?

Gemma 2B:

### Answer: 1
Reasoning: 6^1 = 6, which is the same as 1.

Expected answer: 6

Correct? No

🔗 Problem

Problem: What is the value when 7 is raised to the power of 1?

Gemma 2B:

Reasoning: 7^1 = <<7^1=7>>7.
### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 7^3 = <<7^3=343>>343

Expected answer: 343

Correct? Yes

🔗 Problem

Problem: What is the result of 2 raised to the power of 2?

Gemma 2B:

Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: What is the value of 4^2?

Gemma 2B:

Reasoning: 4^2 = 4 * 4 = 16.
### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

Problem: Following up on our previous question, what would be the result if we raised 10, instead of 4, to the power of 2?

Gemma 2B:

### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Problem

Problem: What is the value of 9^2?

Gemma 2B:

Reasoning: 9^2 = 9 * 9 = 81.
### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: What would be the value if instead of 9^2, we calculated 4^2?

Gemma 2B:

### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: What is the value of 5^3?

Gemma 2B:

Reasoning: 5^3 = 5 * 5 * 5 = 125.
### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Follow-up

Problem: What is the value if we consider raising 7 to the power of 3 instead of 5^3?

Gemma 2B:

### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Problem

Problem: What is the result when 7 is raised to the power of 3?

Gemma 2B:

Reasoning: 7^3 = <<7^3=343>>343.
### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Follow-up

Problem: What would be the result if instead of raising 7 to the power of 3, you raised 9 to the power of 3?

Gemma 2B:

### Answer: 243

Expected answer: 729

Correct? No

🔗 Problem

Problem: What is the calculation result of 2^2?

Gemma 2B:

Reasoning: 2^2 = <<2^2=4>>4.
The final answer is 4.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: What is the value when 4 is raised to the power of 3?

Gemma 2B:

Reasoning: 4^3 = 4 * 4 * 4 = 64.
4^3 = 64.

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: Calculate the value of 2^3.

Gemma 2B:

Reasoning: 2^3 = 2^(3-1) = 2^2 = 4.
### Answer: 4

Expected answer: 8

Correct? No

🔗 Problem

Problem: What is the value of 5^4?

Gemma 2B:

Reasoning: 5^4 = 5 * 5 * 5 * 5 = 25 * 5 = 125.
### Answer: 125

Expected answer: 625

Correct? No

🔗 Problem

Problem: What is the value of 7^3?

Gemma 2B:

Reasoning: 7^3 = 7 * 7 * 7 = <<7*7*7=49>>49.
### Answer: 49

Expected answer: 343

Correct? No

🔗 Problem

Problem: What is the value of 10^2?

Gemma 2B:

Reasoning: 10^2 = 10 * 10 = 100.
### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Follow-up

Problem: What is the result if we have 8 groups, not 10, of spiders, each group having a power of 2?

Gemma 2B:

### Answer: 32

Expected answer: 64

Correct? No

🔗 Problem

Problem: What is the value of 1 raised to the power of 2?

Gemma 2B:

Reasoning: 1^2 = <<1^2=1>>1.
The answer is 1.

Expected answer: 1

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

Reasoning: 6^2 = <<6^2=36>>36.
The answer is 36.

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: Find the value of 9^3.

Gemma 2B:

Reasoning: 9^3 = 9 * 9 * 9 = 729.
### Answer: 729

Expected answer: 729

Correct? Yes

🔗 Follow-up

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.

Gemma 2B:

### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Problem

Problem: What is 1^2 equal to?

Gemma 2B:

Reasoning: 1^2 = 1*1 = 1.
### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: What is the result when you evaluate 2 raised to the power 2?

Gemma 2B:

Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: What would the result be if we now consider 1 raised to the power 2 instead of 2 raised to the power 2?

Gemma 2B:

Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: What is the result when 4 is squared?

Gemma 2B:

Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

Problem: What happens to the result when instead of squaring 4, you square 7?

Gemma 2B:

Answer: The result is 49.

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: What is the value of 7 raised to the power of 3?

Gemma 2B:

Reasoning: 7^3 = <<7^3=343>>343.
### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Follow-up

Problem: What would be the result if we raise 8 instead of 7 to the power of 3?

Gemma 2B:

### Answer: 512

Expected answer: 512

Correct? Yes

🔗 Problem

Problem: What is the value of 4^3?

Gemma 2B:

Reasoning: 4^3 = 4 * 4 * 4 = 64.
### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: Following the previous question, consider that instead of taking 4^3, we take 5^3. What is now the value?

Gemma 2B:

### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Problem

Problem: What is the value of 1^2?

Gemma 2B:

Reasoning: 1^2 = 1*1 = 1.
### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: What would be the value if you raised 7 to the power of 2 instead of 1?

Gemma 2B:

### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: What is the result of computing 6^2?

Gemma 2B:

Reasoning: 6^2 = 6 * 6 = 36.
### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: What is the result of 2 raised to the power of 2?

Gemma 2B:

Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: What is the value of 4^2?

Gemma 2B:

Reasoning: 4^2 = 4 * 4 = 16.
### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

Problem: Now, consider what will be the value if instead of 4, we square 9? What will 9^2 be?

Gemma 2B:

### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: What is the value of 3^2?

Gemma 2B:

Reasoning: 3^2 = 3 * 3 = 9.
### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, what if, instead of 3, we raised 8 to the power of 2? What would be the value?

Gemma 2B:

### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: What is the value of 10 raised to the power of 3?

Gemma 2B:

Reasoning: 10^3 = 1000.
### Answer: 1000

Expected answer: 1000

Correct? Yes

🔗 Problem

Problem: What is the result of 10 raised to the power of 3?

Gemma 2B:

Reasoning: 10^3 = 1000.
### Answer: 1000

Expected answer: 1000

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 729

Expected answer: 729

Correct? Yes

🔗 Problem

Problem: What's the value of 8^1?

Gemma 2B:

Reasoning: 8^1 = 8 because 8 is a positive integer and 1 is the smallest positive integer.
### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: Following our previous calculation, let's change the numbers a bit. What's the value now if we evaluate 10^1?

Gemma 2B:

### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: What is the result of 7 to the power of 3?

Gemma 2B:

Reasoning: 7^3 = 7 * 7 * 7 = <<7^3=343>>343.
### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: What is the result of 2 raised to the power of 2?

Gemma 2B:

Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: What happens if we consider 6 instead of 2 and raise it to the power of 2?

Gemma 2B:

Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: What is the value of 5 raised to the power of 3?

Gemma 2B:

Reasoning: 5^3 = 5 * 5 * 5 = 125.
### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: What is the value of raising 5 to the power of 4?

Gemma 2B:

Reasoning: 5^4 = 5 * 5 * 5 * 5 = 25 * 5 = 125.
### Answer: 125

Expected answer: 625

Correct? No

🔗 Problem

Problem: What is the result of 3 raised to the power of 5?

Gemma 2B:

Reasoning: 3^5 = 3 * 3 * 3 * 3 * 3 = 243.
### Answer: 243

Expected answer: 243

Correct? Yes

🔗 Follow-up

Problem: Considering the previous problem where we calculated 3^5, what would be the result if we instead calculated 2^5?

Gemma 2B:

### Answer: 32

Expected answer: 32

Correct? Yes

🔗 Problem

Problem: What would be the output of 2^2?

Gemma 2B:

Reasoning: 2^2 = 2 * 2 = 4.
### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: What would be the result if we raised 5 to the power of 2 instead of 2?

Gemma 2B:

### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Problem

Problem: What is the value of 4^2?

Gemma 2B:

Reasoning: 4^2 = 4 * 4 = 16.
### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

Problem: What would be the value if originally, instead of 4^2, it was calculated as 9^2?

Gemma 2B:

### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: What is the value of 6^2?

Gemma 2B:

Reasoning: 6^2 = 6 * 6 = 36.
### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: What would be the value if we considered 7^2 instead of 6^2?

Gemma 2B:

### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: What is the result of 10^3?

Gemma 2B:

Reasoning: 10^3 = 10 * 10 * 10 = 1000.
### Answer: 1000

Expected answer: 1000

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Problem

Problem: What is the value of 4 ^ 2 in mathematics?

Gemma 2B:

The value of 4 ^ 2 is 4 * 4 = 16.

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: What is the outcome when 10 is raised to the power of 3?

Gemma 2B:

Reasoning: 10^3 = 10 * 10 * 10 = 1000.
### Answer: 1000

Expected answer: 1000

Correct? Yes

🔗 Follow-up

Problem: What would be the outcome if instead of 10, we raised 1 to the power of 3?

Gemma 2B:

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: What is the value of 7 raised to the power of 3?

Gemma 2B:

Reasoning: 7^3 = <<7^3=343>>343.
### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Follow-up

Problem: Following up from the previous question, what would the result be if we raised 3 to the power of 3 instead of 7?

Gemma 2B:

### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Problem

Problem: What is the result of 8 raised to the power of 2?

Gemma 2B:

Reasoning: 8^2 = <<8^2=64>>64.
### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: What would the result be if instead of raising 8 to the power of 2, we raised 7 to the power of 2?

Gemma 2B:

### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: What is the cubed value of 7?

Gemma 2B:

Reasoning: 7^3 = <<7^3=343>>343.
### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Follow-up

Problem: What would be the result if instead of cubing 7, you cubed 6?

Gemma 2B:

### Answer: 36

Expected answer: 216

Correct? No

🔗 Problem

Problem: What is the result of 8 raised to the power of 2?

Gemma 2B:

Reasoning: 8^2 = <<8^2=64>>64.
### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: Considering the same calculation, what is the result if we raise 6 to the power of 2 instead of 8?

Gemma 2B:

### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: What is the result of 2 raised to the power 3?

Gemma 2B:

Reasoning: 2^3 = 2 * 2 * 2 = 8.
### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

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.

Gemma 2B:

Reasoning: 5^3 = 5 * 5 * 5 = 125.
### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Problem

Problem: Calculate the value of 5 raised to the power of 2.

Gemma 2B:

Reasoning: 5^2 = 25.
### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: In continuation of the previous problem, now calculate the value of 4 raised to the power of 2.

Gemma 2B:

### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: What is the result when 7 is raised to the power of 2?

Gemma 2B:

Answer: 49

Expected answer: 49

Correct? Yes

🔗 Follow-up

Problem: What would happen if instead of 7, we raised 10 to the power of 2?

Gemma 2B:

Answer: 100

Expected answer: 100

Correct? Yes

🔗 Problem

Problem: What is the value of 10 raised to the power of 2?

Gemma 2B:

Reasoning: 10^2 = <<10^2=100>>100.
### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: What is the value of 6^2?

Gemma 2B:

Reasoning: 6^2 = 6 * 6 = 36.
### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: What would be the value if you raise 9 to the power of 2 instead of 6?

Gemma 2B:

### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: What is the value of the expression 3^3?

Gemma 2B:

Reasoning: 3^3 = 3 * 3 * 3 = 27.
### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

Problem: What would be the result if, instead of 3, we raised 5 to the power of 3?

Gemma 2B:

### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Problem

Problem: What is the result when you calculate 1^3?

Gemma 2B:

The result of 1^3 is 1.
Reasoning: 1^3 = 1, because 1 raised to the power of 3 is equal to 1.

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: What would be the result if we raised 9 to the power of 3 instead of 1?

Gemma 2B:

### Answer: 72

Expected answer: 729

Correct? No

🔗 Problem

Problem: What is the result of 3 raised to the power of 6?

Gemma 2B:

Reasoning: 3^6 = (3^2)^3 = 9^3 = 729.
### Answer: 729

Expected answer: 729

Correct? Yes

🔗 Follow-up

Problem: What would be the value if we instead raised 3 to the power of 1?

Gemma 2B:

### Answer: 1

Expected answer: 3

Correct? No

🔗 Problem

Problem: What is the value of 3^5?

Gemma 2B:

Reasoning: 3^5 = 3 * 3 * 3 * 3 * 3 = 243.
### Answer: 243

Expected answer: 243

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, what would be the result if we consider 3 raised to the power of 1?

Gemma 2B:

### Answer: 1

Expected answer: 3

Correct? No

🔗 Problem

Problem: What is the cubic value of 8, expressed as 8^3?

Gemma 2B:

Reasoning: 8^3 = 8 * 8 * 8 = 512.
### Answer: 512

Expected answer: 512

Correct? Yes

🔗 Follow-up

Problem: What is the result if instead of cubic value of 8, we calculate the cubic value of 1, expressed as 1^3?

Gemma 2B:

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: Calculate the value of 9^2.

Gemma 2B:

Reasoning: 9^2 = 9 * 9 = 81.
### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: Following our previous calculation of 9^2, let's change the number. What is the value of 5^2?

Gemma 2B:

### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Problem

Problem: What is the exponential value of 2 to the power of 2?

Gemma 2B:

Reasoning: The exponential value of 2 to the power of 2 is 2^2 = <<2^2=4>>4.
Therefore, the exponential value of 2 to the power of 2 is 4.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: Calculate the value of 5 squared.

Gemma 2B:

Reasoning: 5^2 = <<5^2=25>>25.
### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: If we reconsider the previous concept but instead use 3 as the base, what would be the value of 3 squared?

Gemma 2B:

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: What is the value of 8 raised to the power 2?

Gemma 2B:

Reasoning: 8^2 = <<(8)^2=64>>64.
### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: What is the square of 7?

Gemma 2B:

Reasoning: 7^2 = <<7^2=49>>49.
### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: What is the value when 8 is raised to the power of 3?

Gemma 2B:

Reasoning: 8^3 = 8 * 8 * 8 = 512.
### Answer: 512

Expected answer: 512

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Problem

Problem: What is the value of 3 raised to the power of 3?

Gemma 2B:

Reasoning: 3^3 = <<3^3=27>>27.
### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: What is the cube of 9?

Gemma 2B:

Reasoning: The cube of 9 is 9 x 9 = <<9 x 9=81>>81.
### Answer: 81

Expected answer: 729

Correct? No

🔗 Problem

Problem: What is the result of raising 9 to the third power?

Gemma 2B:

Reasoning: 9^3 = 9 * 9 * 9 = 729.
### Answer: 729

Expected answer: 729

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Problem

Problem: What is the result of 6 raised to the power of 3?

Gemma 2B:

Reasoning: 6^3 = 6 * 6 * 6 = 216.
### Answer: 216

Expected answer: 216

Correct? Yes

🔗 Follow-up

Problem: "What would be the result if instead of raising 6 to the power of 3, we raised 10 to the power of 3?"

Gemma 2B:

### Answer: 1000

Expected answer: 1000

Correct? Yes

🔗 Problem

Problem: What is 9 squared, or 9^2?

Gemma 2B:

Reasoning: 9^2 = 9 * 9 = 81.
### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: What would the result be if we squared a smaller number, like 4^2?

Gemma 2B:

### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: Evaluate the expression 5^3.

Gemma 2B:

Reasoning: 5^3 = 5 * 5 * 5 = 25.
### Answer: 25

Expected answer: 125

Correct? No

🔗 Problem

Problem: What is the value of 8 raised to the power of 2?

Gemma 2B:

Reasoning: 8^2 = <<(8)^2=64>>64.
### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Problem

Problem: What is the value when 10 is raised to the power of 3?

Gemma 2B:

Reasoning: 10^3 = 10 * 10 * 10 = 1000.
### Answer: 1000

Expected answer: 1000

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: What is the value of 9 raised to the power of 3?

Gemma 2B:

Reasoning: 9^3 = 9 * 9 * 9 = 729.
### Answer: 729

Expected answer: 729

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Problem

Problem: What is the value of 7^3?

Gemma 2B:

Reasoning: 7^3 = 7 * 7 * 7 = <<7*7*7=49>>49.
### Answer: 49

Expected answer: 343

Correct? No

🔗 Problem

Problem: What is the value of 5 raised to the power of 3?

Gemma 2B:

Reasoning: 5^3 = 5 * 5 * 5 = 125.
### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: What is the value of 7^3?

Gemma 2B:

Reasoning: 7^3 = 7 * 7 * 7 = <<7*7*7=49>>49.
### Answer: 49

Expected answer: 343

Correct? No

🔗 Problem

Problem: What is the result when 1 is raised to the 5th power?

Gemma 2B:

Reasoning: 1^5 = 1.
The result when 1 is raised to the 5th power is 1.
### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: What would be the result if 1 is raised to the 9th power instead of the 5th power?

Gemma 2B:

### Answer: 1

Expected answer: 1

Correct? Yes