MCQ
The value of $\sqrt[4]{(64)^{-2}}$ is
- A$\frac{1}{2}$
- ✓$\frac{1}{8}$
- C$\frac{1}{16}$
- D$\frac{1}{4}$
✓
Answer
Correct option: B.
$\frac{1}{8}$
$\sqrt[4]{(64)^{-2}}$
$\Rightarrow(64)^{\frac{-2}{4}}$
$\Rightarrow(64)^{\frac{-1}{2}} \text { or } \frac{1}{\sqrt{64}}$
$\Rightarrow \frac{1}{8}$
$\Rightarrow(64)^{\frac{-2}{4}}$
$\Rightarrow(64)^{\frac{-1}{2}} \text { or } \frac{1}{\sqrt{64}}$
$\Rightarrow \frac{1}{8}$
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