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Simplify: (2³)³ ÷ 8

medium Q5 of 15
Numerical Ability - Simplification & Approximation
Simplify: (2³)³ ÷ 8
A32
B64
C128
D16
Step-by-Step Solution
  1. Step 1: Apply exponent rule for nested powers

    (2³)³ = 2^(3×3) = 2⁹ = 512.
  2. Step 2: Divide by 8

    512 ÷ 8 = 64.
  3. Final Answer:

    64 → Option B.
  4. Quick Check:

    2⁹=512 and 512/8=64 ✅
Quick Trick: Use power rule (a^m)^n = a^(m×n), then divide.
Common Mistakes:
  • Treating (2³)³ as 2^(3+3) instead of 2^(3×3).
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