Question
Simplify:
$(0.001)^{\frac{1}{3}}$

Answer

We have,

$(0.001)^{\frac{1}{3}}=\Big(\frac{1}{1000}\Big)^{\frac{1}{3}}$

$=\Big(\frac{1}{10^3}\Big)^{\frac{1}{3}}$

$=\frac{1}{10^{3\times\frac{1}{3}}}$

$=\frac{1}{10}$

$=0.1$

$\Rightarrow0.001^{\frac{1}{3}}=0.1$

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