Numerical Ability - Simplification & Approximation
Simplify: ((2²)³ × 3²) ÷ √144
Simplify: ((2²)³ × 3²) ÷ √144
hard Q9 of 15
Step-by-Step Solution
Step 1: Simplify nested powers
(2²)³ = 2^(2×3) = 2⁶ = 64.Step 2: Multiply with other power
3² = 9 → 64 × 9 = 576.Step 3: Divide by root
√144 = 12 → 576 ÷ 12 = 48.Final Answer:
48 → Option A.Quick Check:
64×9=576; 576/12=48 ✅
Quick Trick: Use exponent rules to simplify nested powers before multiplying/dividing.
Common Mistakes:
- Failing to multiply exponents correctly inside nested powers.
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