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Number systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
MCQ
The value of $\sqrt[4]{(64)^{-2}}$ is:
  • A
    $\frac{1}{8}$
  • B
    $\frac{1}{2}$
  • C
    $8$
  • D
    $\frac{1}{64}$
✓

Answer

  1. $\frac{1}{8}$
    Solution:
    $\sqrt[4]{(64)^{-2}}=\sqrt[4]{(8^2)^{-2}}=8^{-4\times\frac{1}{4}}=8^{-1}=\frac{1}{8}$
    Hence, the correct answer is option (a).

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