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, $(0.001)^{1 / 3}=0.1$.  

Tutorialspoint

Updated on: 10-Oct-2022

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