MCQ
The value of $(0.00032)^{\frac{-2}{5}}$ is:
- A$5$
- B$1$
- C$0$
- ✓$25$
✓
Answer
Correct option: D.
$25$
$(0.00032)^{\frac{-2}{5}}$
$=(\frac{32}{100000})^{\frac{-2}{5}}$
$=(\frac{2}{10})^{5\times\frac{-2}{5}}$
$=(\frac{1}{5})^{-1}=25$
$=(\frac{32}{100000})^{\frac{-2}{5}}$
$=(\frac{2}{10})^{5\times\frac{-2}{5}}$
$=(\frac{1}{5})^{-1}=25$
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