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Which of the following is the result of (2^3)^2?

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Question: Which of the following is the result of (2^3)^2?

Options:

  1. 2^5
  2. 2^6
  3. 2^7
  4. 2^8

Correct Answer: 2^6

Solution: 

Using the power of a power property, (a^m)^n = a^(m*n), we get (2^3)^2 = 2^(3*2) = 2^6.

Which of the following is the result of (2^3)^2?

Practice Questions

Q1
Which of the following is the result of (2^3)^2?
  1. 2^5
  2. 2^6
  3. 2^7
  4. 2^8

Questions & Step-by-Step Solutions

Which of the following is the result of (2^3)^2?
  • Step 1: Identify the expression we need to solve, which is (2^3)^2.
  • Step 2: Recall the power of a power property, which states that (a^m)^n = a^(m*n).
  • Step 3: Apply the property to our expression: (2^3)^2 becomes 2^(3*2).
  • Step 4: Calculate the exponent: 3*2 equals 6.
  • Step 5: Rewrite the expression: Now we have 2^6.
  • Step 6: If needed, calculate 2^6, which equals 64.
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