What is the result of (2^3)^2?

Practice Questions

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

Questions & Step-by-Step Solutions

What 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 says (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 = 6.
  • Step 6: Now we have 2^6.
  • Step 7: The final result is 2^6.
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