Question
Simplify:$(0.001)^{\frac{1}{3}}$
✓
Answer
We have,$(0.001)^{\frac{1}{3}}=\Big(\frac{1}{1000}\Big)^{\frac{1}{3}}$
$=\Big(\frac{1}{10^3}\Big)^{\frac{1}{3}}$
$=\frac{1}{10^{3\times\frac{1}{3}}}$
$=\frac{1}{10}$
$=0.1$
$\Rightarrow0.001^{\frac{1}{3}}=0.1$
$=\Big(\frac{1}{10^3}\Big)^{\frac{1}{3}}$
$=\frac{1}{10^{3\times\frac{1}{3}}}$
$=\frac{1}{10}$
$=0.1$
$\Rightarrow0.001^{\frac{1}{3}}=0.1$
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