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Simplify: (3² × 4³) ÷ √81

medium Q7 of 15
Numerical Ability - Simplification & Approximation
Simplify: (3² × 4³) ÷ √81
A60
B72
C64
D56
Step-by-Step Solution
  1. Step 1: Evaluate numerator powers

    3² = 9 and 4³ = 64.
  2. Step 2: Multiply numerator values

    9 × 64 = 576.
  3. Step 3: Divide by denominator root

    √81 = 9 → 576 ÷ 9 = 64.
  4. Final Answer:

    64 → Option C.
  5. Quick Check:

    576/9=64 ✅
Quick Trick: Simplify numerator fully before dividing by the root.
Common Mistakes:
  • Forgetting to evaluate the square root in the denominator.
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