🔗 Problem

Problem: What is the value of 5^4?

Gemma 2B:

      The value of 5^4 is 5 × 5 × 5 × 5 = 625.

    ### Answer: 625

Expected answer: 625

Correct? Yes

🔗 Follow-up

Problem: What would the result be if instead of raising 5 to the 4th power, you raised the number 4 to the 4th power?

Gemma 2B:

      If you raise the number 4 to the 4th power, you would get 4 × 4 × 4 × 4 = 256.

    ### Answer: 256

Expected answer: 256

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The answer to 9 raised to the power of 3 is 729.

Expected answer: 729

Correct? Yes

🔗 Problem

Problem: What is the cube of 5?

Gemma 2B:

      The cube of 5 is 5 × 5 × 5 = 125.

Expected answer: 125

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of raising 9 to the power of 2 is 9^2 = 81.

Expected answer: 81

Correct? Yes

🔗 Problem

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

Gemma 2B:

      To find 3 to the power of 3, we need to multiply 3 by itself three times:

    3 × 3 × 3 = 27

    Therefore, 3 to the power of 3 is equal to 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:

      To find 5 to the power of 3, we need to multiply 5 by itself three times:

    5 × 5 × 5 = 125

    Therefore, 5 to the power of 3 is equal to 125.

    ### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value when 9 is raised to the power of 2 is 9^2 = 81.

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: Calculate the result of 9^2.

Gemma 2B:

      To calculate 9^2, we need to multiply 9 by itself twice.

    9 x 9 = 81

    Therefore, 9^2 = 81.

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: Determine the value of 10^3.

Gemma 2B:

      The value of 10^3 is 1000.

    To see why, consider the following:

    10^3 = 10 x 10 x 10 = 1000

    So, the value of 10^3 is 1000.

Expected answer: 1000

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 6 squared, or 6^2, is 36.

Expected answer: 36

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 3 raised to the power of 3 is 3^3 = 27.

Expected answer: 27

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The answer to 10 raised to the power of 2 is 100.

Expected answer: 100

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 9 raised to the power of 3 is 729.

    To calculate this, we can use the formula for exponentiation:

    9^3 = 9 × 9 × 9 = 729

    Therefore, the value of 9 raised to the power of 3 is 729.

Expected answer: 729

Correct? Yes

🔗 Problem

Problem: What is the value of 2^2?

Gemma 2B:

      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:

      The value when the number 7 is raised to the power of 2 is 7^2 = 49.

Expected answer: 49

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 8 raised to the power of 3 is 512.

    To calculate this, we can use the formula for exponential growth:

    8^3 = 8 × 8 × 8 = 512

    Therefore, the value of 8 raised to the power of 3 is 512.

Expected answer: 512

Correct? Yes

🔗 Problem

Problem: What is the value of 3^2?

Gemma 2B:

      The value of 3^2 is 9.

Expected answer: 9

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value when 9 is raised to the power of 2 is 9^2 = 81.

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: What is the value of 5 cubed?

Gemma 2B:

      The value of 5 cubed is 5 × 5 × 5 = 125.

Expected answer: 125

Correct? Yes

🔗 Problem

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

Gemma 2B:

      When 5 is raised to the power of 2, the outcome is 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:

      When 4 is raised to the power of 2, the outcome is 16.

    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value when you raise 5 to the power of 2 is 5^2 = 25.

Expected answer: 25

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 2 raised to the power of 3 is 8.

    To calculate this, we can use the formula for exponentiation:

    2^3 = 2 × 2 × 2 = 8

    Therefore, the result of 2 raised to the power of 3 is 8.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: What is the result of 1^3?

Gemma 2B:

      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:

      If you take the new number 3 and raise it to the power of 3, you get 3^3 = 27.

Expected answer: 27

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 1 raised to the power of 9 is 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:

      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.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: What is the result of 8^3?

Gemma 2B:

      The result of 8^3 is 512.

    To calculate 8^3, we need to raise 8 to the power of 3.

    8^3 = 8 × 8 × 8 = 512

    Therefore, the result of 8^3 is 512.

Expected answer: 512

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result when 1 is raised to the power of 2 is 1.

    ### Answer: 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:

      If we raise 4 to the power of 2, we get 4 × 4 = 16.

    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: What is the result of 2^2?

Gemma 2B:

      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:

      Sure! Here's the answer:

    8^2 = 64

Expected answer: 64

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 2 raised to the power of 3 is 8.

    To calculate this, we can use the formula for exponentiation:

    2^3 = 2 × 2 × 2 = 8

    Therefore, the result of 2 raised to the power of 3 is 8.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: What is the value of 8^2?

Gemma 2B:

      The value of 8^2 is 64.

Expected answer: 64

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 6 to the power of 3 is 6 × 6 × 6 = 216.

    Therefore, the answer is 216.

Expected answer: 216

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value when 7 is raised to the power of 1 is 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:

      The value when 7 is raised to the power of 3 is 7^3 = 343.

    ### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 2 raised to the power of 2 is 4.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: What is the value of 4^2?

Gemma 2B:

      The value of 4^2 is 16.

    To calculate 4^2, we need to raise 4 to the power of 2, which means multiplying 4 by itself twice.

    4 x 4 = 16

    Therefore, 4^2 = 16.

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: What is the value of 9^2?

Gemma 2B:

      The value of 9^2 is 81.

    To calculate 9^2, we need to multiply 9 by itself twice:

    9 x 9 = 81

    Therefore, the value of 9^2 is 81.

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: What is the value of 5^3?

Gemma 2B:

      The value of 5^3 is 5 x 5 x 5 = 125.

Expected answer: 125

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result when 7 is raised to the power of 3 is 7^3 = 343.

Expected answer: 343

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The calculation result of 2^2 is 4.

Expected answer: 4

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value when 4 is raised to the power of 3 is 4^3 = 64.

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: Calculate the value of 2^3.

Gemma 2B:

      The value of 2^3 can be calculated as follows:

    2^3 = 2 × 2 × 2 = 8

    Therefore, 2^3 is equal to 8.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: What is the value of 5^4?

Gemma 2B:

      The value of 5^4 is 5 × 5 × 5 × 5 = 625.

    ### Answer: 625

Expected answer: 625

Correct? Yes

🔗 Problem

Problem: What is the value of 7^3?

Gemma 2B:

      The value of 7^3 is 343.

    To calculate 7^3, we need to raise 7 to the power of 3, which means multiplying 7 by itself three times:

    7 × 7 × 7 = 343

    Therefore, the value of 7^3 is 343.

Expected answer: 343

Correct? Yes

🔗 Problem

Problem: What is the value of 10^2?

Gemma 2B:

      The value of 10^2 is 100.

Expected answer: 100

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 1 raised to the power of 2 is 1.

    ### Answer: 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:

      If the base is changed to 6, then the result of 6 raised to the power of 2 would be 6^2 = 36.

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: Find the value of 9^3.

Gemma 2B:

      To find the value of 9^3, we need to raise 9 to the power of 3.

    9^3 = 9 × 9 × 9 = 729

    Therefore, the value of 9^3 is 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:

      To calculate 7^3, we need to raise 7 to the power of 3.

    7^3 = 7 × 7 × 7 = 343

    Therefore, the result of raising 7 to the power of 3 is 343.

    ### Answer: 343

Expected answer: 343

Correct? Yes

🔗 Problem

Problem: What is 1^2 equal to?

Gemma 2B:

      The value of 1^2 is equal to 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:

      The value of 3^2 is equal to 9.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result when you evaluate 2 raised to the power 2 is 4.

    2^2 = 2 × 2 = 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: What is the result when 4 is squared?

Gemma 2B:

      The result when 4 is squared is 16.

    ### 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:

      When you square 7, the result is 49.

    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 7 raised to the power of 3 is 7^3 = 343.

Expected answer: 343

Correct? Yes

🔗 Problem

Problem: What is the value of 4^3?

Gemma 2B:

      The value of 4^3 is 4 × 4 × 4 = 64.

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: What is the value of 1^2?

Gemma 2B:

      The value of 1^2 is 1.

    Explanation:

    In mathematics, the caret symbol (^) is used to represent exponentiation, which means raising a number to a power. For example, 2^3 means 2 raised to the power of 3, or 2 × 2 × 2 = 8.

    In the case of 1^2, we have 1 raised to the power of 2, which is simply 1 × 1 = 1. Therefore, the value of 1^2 is 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:

      If you raised 7 to the power of 2, you would get 7 × 7 = 49.

Expected answer: 49

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of computing 6^2 is 36.

Expected answer: 36

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 2 raised to the power of 2 is 4.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: What is the value of 4^2?

Gemma 2B:

      The value of 4^2 is 16.

    To calculate 4^2, we need to raise 4 to the power of 2, which means multiplying 4 by itself twice.

    4 x 4 = 16

    Therefore, 4^2 = 16.

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: What is the value of 3^2?

Gemma 2B:

      The value of 3^2 is 9.

Expected answer: 9

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 10 raised to the power of 3 is 1000.

    To calculate this, we can use the formula for exponential growth:

    10^3 = 10 x 10 x 10 = 1000

    Therefore, the value of 10 raised to the power of 3 is 1000.

Expected answer: 1000

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 10 raised to the power of 3 is 1000.

    To calculate this, we can use the formula for exponentiation:

    10^3 = 10 × 10 × 10 = 1000

    Therefore, the result of 10 raised to the power of 3 is 1000.

Expected answer: 1000

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 8^1 is 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:

      The value of 10^1 is 10.

Expected answer: 10

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 7 to the power of 3 is 7 × 7 × 7 = 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:

      If we change the base and elevate 2 to the power of 3, the result would be 2 × 2 × 2 = 8.

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 2 raised to the power of 2 is 4.

Expected answer: 4

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 5 raised to the power of 3 is 5^3 = 125.

Expected answer: 125

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of raising 5 to the power of 4 is 5^4 = 625.

Expected answer: 625

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 3 raised to the power of 5 is 3^5 = 243.

Expected answer: 243

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The output of 2^2 is 4.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: What is the value of 4^2?

Gemma 2B:

      The value of 4^2 is 16.

    To calculate 4^2, we need to raise 4 to the power of 2, which means multiplying 4 by itself twice.

    4 x 4 = 16

    Therefore, 4^2 = 16.

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: What is the value of 6^2?

Gemma 2B:

      The value of 6^2 is 36.

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: What is the result of 10^3?

Gemma 2B:

      The result of 10^3 is 1000.

Expected answer: 1000

Correct? Yes

🔗 Problem

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

Gemma 2B:

      In mathematics, 4 ^ 2 is equal to 16.

Expected answer: 16

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The outcome when 10 is raised to the power of 3 is 1000.

    To calculate this, we can use the formula for exponentiation:

    10^3 = 10 × 10 × 10 = 1000

    Therefore, the outcome when 10 is raised to the power of 3 is 1000.

Expected answer: 1000

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 7 raised to the power of 3 is 7^3 = 343.

Expected answer: 343

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 8 raised to the power of 2 is 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:

      If we raise 7 to the power of 2, the result would be 49.

    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: What is the cubed value of 7?

Gemma 2B:

      The cubed value of 7 is 7^3 = 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:

      If you cube 6, you would get 6^3 = 216.

    ### Answer: 216

Expected answer: 216

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 8 raised to the power of 2 is 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:

      If we raise 6 to the power of 2, we get:

    6^2 = 6 × 6 = 36

    So, the result of raising 6 to the power of 2 is 36.

Expected answer: 36

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 2 raised to the power 3 is 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:

      To calculate 5 raised to the power 3, we can use the same method as before:

    5^3 = 5 × 5 × 5 = 125

    So, 5 raised to the power 3 is 125.

Expected answer: 125

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 5 raised to the power of 2 is 5^2 = 25.

Expected answer: 25

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result when 7 is raised to the power of 2 is 7^2 = 49.

Expected answer: 49

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 10 raised to the power of 2 is 100.

    To calculate this, we can use the formula for exponential growth:

    10^2 = 10 x 10 = 100

    Therefore, the value of 10 raised to the power of 2 is 100.

Expected answer: 100

Correct? Yes

🔗 Problem

Problem: What is the value of 6^2?

Gemma 2B:

      The value of 6^2 is 36.

Expected answer: 36

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of the expression 3^3 is 27.

    To calculate this, we can use the rule of exponents:

    3^3 = 3 × 3 × 3 = 27

    Therefore, the value of the expression 3^3 is 27.

Expected answer: 27

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result when you calculate 1^3 is 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:

      If we raised 9 to the power of 3, the result would be 729.

Expected answer: 729

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 3 raised to the power of 6 is 3^6 = 729.

Expected answer: 729

Correct? Yes

🔗 Problem

Problem: What is the value of 3^5?

Gemma 2B:

      The value of 3^5 is 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:

      If we consider 3 raised to the power of 1, we would have:

    3^1 = 3 × 3 = 9

    So, the result would be 9.

Expected answer: 3

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The cubic value of 8, expressed as 8^3, is 512.

Expected answer: 512

Correct? Yes

🔗 Problem

Problem: Calculate the value of 9^2.

Gemma 2B:

      To calculate the value of 9^2, we need to multiply 9 by itself twice.

    9 x 9 = 81

    Therefore, 9^2 = 81.

Expected answer: 81

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The exponential value of 2 to the power of 2 is 2^2 = 4.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: Calculate the value of 5 squared.

Gemma 2B:

      To calculate the value of 5 squared, we need to multiply 5 by itself.

    5 x 5 = 25

    Therefore, the value of 5 squared is 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:

      If we use 3 as the base, the value of 3 squared would be:

    3 x 3 = 9

    Therefore, the value of 3 squared is 9.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 8 raised to the power 2 is 8^2 = 64.

Expected answer: 64

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value when 8 is raised to the power of 3 is 512.

    To calculate this, we can use the formula for exponential growth:

    8^3 = 8 × 8 × 8 = 512

    Therefore, the value when 8 is raised to the power of 3 is 512.

Expected answer: 512

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 3 raised to the power of 3 is 3^3 = 27.

Expected answer: 27

Correct? Yes

🔗 Problem

Problem: What is the cube of 9?

Gemma 2B:

      The cube of 9 is 9 x 9 x 9 = 729.

Expected answer: 729

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of raising 9 to the third power is 729.

Expected answer: 729

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The result of 6 raised to the power of 3 is 6^3 = 216.

Expected answer: 216

Correct? Yes

🔗 Problem

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

Gemma 2B:

      To find 9 squared, or 9^2, we need to multiply 9 by itself.

    9 x 9 = 81

    So, 9 squared is 81.

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: Evaluate the expression 5^3.

Gemma 2B:

      The expression 5^3 can be evaluated as follows:

    5^3 = 5 × 5 × 5 = 125

    Therefore, the value of the expression 5^3 is 125.

    ### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 8 raised to the power of 2 is 64.

    To calculate this, we can use the formula for exponentiation:

    8^2 = 8 × 8 = 64

    Therefore, the value of 8 raised to the power of 2 is 64.

Expected answer: 64

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value when 10 is raised to the power of 3 is 1000.

    To calculate this, we can use the formula for exponential growth:

    10^3 = 10 x 10 x 10 = 1000

    Therefore, the value when 10 is raised to the power of 3 is 1000.

Expected answer: 1000

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 9 raised to the power of 3 is 729.

    To calculate this, we can use the formula for exponentiation:

    9^3 = 9 × 9 × 9 = 729

    Therefore, the value of 9 raised to the power of 3 is 729.

Expected answer: 729

Correct? Yes

🔗 Problem

Problem: What is the value of 7^3?

Gemma 2B:

      The value of 7^3 is 343.

    To calculate 7^3, we need to raise 7 to the power of 3, which means multiplying 7 by itself three times:

    7 × 7 × 7 = 343

    Therefore, the value of 7^3 is 343.

Expected answer: 343

Correct? Yes

🔗 Problem

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

Gemma 2B:

      The value of 5 raised to the power of 3 is 5^3 = 125.

Expected answer: 125

Correct? Yes

🔗 Problem

Problem: What is the value of 7^3?

Gemma 2B:

      The value of 7^3 is 343.

    To calculate 7^3, we need to raise 7 to the power of 3, which means multiplying 7 by itself three times:

    7 × 7 × 7 = 343

    Therefore, the value of 7^3 is 343.

Expected answer: 343

Correct? Yes

🔗 Problem

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

Gemma 2B:

      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:

      If 1 is raised to the 9th power, the result would be 1.

    ### Answer: 1

Expected answer: 1

Correct? Yes