Step 1: Apply power-of-a-power rule(a^m)^n = a^(m×n).Step 2: Multiply exponents(2³)² = 2^(3×2) = 2⁶.Step 3: Evaluate2⁶ = 64.Final Answer:64 → Option C.Quick Check:2³=8, 8²=64 ✅

Simplify: (2³)²

medium Q4 of 15

Numerical Ability - Simplification & Approximation

Simplify: (2³)²

A16

B32

C64

D128

Step-by-Step Solution

Step 1: Apply power-of-a-power rule
(a^m)^n = a^(m×n).
Step 2: Multiply exponents
(2³)² = 2^(3×2) = 2⁶.
Step 3: Evaluate
2⁶ = 64.
Final Answer:
64 → Option C.
Quick Check:
2³=8, 8²=64 ✅

Quick Trick: Multiply exponents when raising a power to another power.

Common Mistakes:

Adding exponents instead of multiplying.

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