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Simplify:$ (0.001)^{1 / 3} $
Given:
\( (0.001)^{1 / 3} \)
To do:
We have to simplify the given expression.
Solution:
We know that,
$(a^{m})^{n}=a^{m n}$
$a^{m} \times a^{n}=a^{m+n}$
$a^{m} \div a^{n}=a^{m-n}$
$a^{0}=1$
Therefore,
$(0.001)^{1 / 3}=[(0.1)^3]^{\frac{1}{3}}$
$=(0.1)^{3\times\frac{1}{3}}$
$=(0.1)^{1}$
$=0.1$
Hence, $(0.001)^{1 / 3}=0.1$.
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