# How to transform an expression to radical form (9x)^(a/b)?

Aug 26, 2015

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

#### Explanation:

You need to use the fact that

$\textcolor{b l u e}{{x}^{\frac{m}{n}} = \sqrt[n]{{x}^{m}}} \text{ }$ with $\textcolor{b l u e}{n \ne 0}$

In your case, $9 x$ will be the expression under the radical. Raising this expression to a fractional exponent equal to $\frac{a}{b}$ will thus be equivalent to

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