Question

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

Answer 1

`5^(1/9) = root(9)5`

Explanation:

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

`(x^m)^n = x^(mn)`

`(5^(1/3))^(1/3) = 5^(1/9) = root(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.