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Evaluate: 0.008^(2/3).

A0.02
B0.04
C0.2
D0.4

Explanation

  • Spot the cube first: 0.008 = 0.2 × 0.2 × 0.2, so 0.008 = (0.2)³.
  • Now the power is easy: ((0.2)³)^(2/3) = 0.2² = 0.04.
  • Take the cube root before squaring. Working in that order keeps the numbers small and avoids errors.
  • Option C 0.2 is only the cube root, so it stops one step too early.
  • Counting decimal places is a fast check: 0.2 has one place, and squaring it must give two, which matches 0.04.
Submitted by: mcqstutor Team More Mathematics MCQs →

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