# How do you simplify (5^(1/3))^(1/3)?

##### 1 Answer
Jul 21, 2016

${5}^{\frac{1}{9}} = \sqrt[9]{5}$

#### Explanation:

Using the power law of indices, we can multiply the indices.

${\left({x}^{m}\right)}^{n} = {x}^{m n}$

${\left({5}^{\frac{1}{3}}\right)}^{\frac{1}{3}} = {5}^{\frac{1}{9}} = \sqrt[9]{5}$

We will need to use a calculator if the actual value is required.

Either index form or as a radical is fine as an answer.