Which of the following expressions is equivalent to (2^3)^2?

Practice Questions

Q1
Which of the following expressions is equivalent to (2^3)^2?
  1. 2^5
  2. 2^6
  3. 2^9
  4. 2^1

Questions & Step-by-Step Solutions

Which of the following expressions is equivalent to (2^3)^2?
  • Step 1: Identify the expression we need to simplify, 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: In our case, a is 2, m is 3, and n is 2.
  • Step 4: Apply the property: (2^3)^2 becomes 2^(3*2).
  • Step 5: Calculate the exponent: 3*2 equals 6.
  • Step 6: Therefore, (2^3)^2 simplifies to 2^6.
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