# How do you simplify (9x)^(a/b)?

Sep 23, 2017

Rearrange fraction exponent into a radical.

#### Explanation:

When the exponent is a fraction, the denominator is paired with the terms as it's own exponent.

This pairing is under a radical, with the numerator as the index.

As a result, you get something like this:

${\left(9 x\right)}^{\frac{a}{b}} = \sqrt[b]{{\left(9 x\right)}^{a}}$

P.S. There may be other ways to simplify the value you gave us. The radical route was the first one I thought of.

Hope this helps :)