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

1 Answer
Sep 23, 2017

Rearrange fraction exponent into a radical.


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:


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 :)