Compute ∛13824 by prime factorisation.
A12
B18
C22
D24
Answer & Solution
Correct answer: D. 24
13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3. That's 2⁹ × 3³ = (2³)³ × 3³ = (2³ × 3)³ = 24³. So ∛13824 = 24.
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