MCQ
Cube of $\big(\frac{-1}{4}\big)$ is:
  • A
    $\frac{-1}{12}$
  • B
    $\frac{1}{16}$
  • C
    $\frac{-1}{64}$
  • $\frac{1}{64}$

Answer

Correct option: D.
$\frac{1}{64}$

Cube of $\big(\frac{-1}{4}\big)$ is $\big(\frac{-1}{4}\big)^{3}$
So, $\big(\frac{-1}{4}\big)^{3}=\big(\frac{-1}{4}\big)\times\big(\frac{-1}{4}\big)\times\big(\frac{-1}{4}\big)$
$=\frac{(-1)\times(-1)\times(-1)}{4\times4\times4}$
$=\frac{-1}{64}$

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