# How to transform an expression to radical form (81/625)^(-1/4)?

$\frac{5}{3}$
${\left(\frac{81}{625}\right)}^{- \frac{1}{4}} = {\left[{\left(\frac{81}{625}\right)}^{- 1}\right]}^{\frac{1}{4}} = {\left[\frac{625}{81}\right]}^{\frac{1}{4}} = {\left[{5}^{4} / {3}^{4}\right]}^{\frac{1}{4}} = {\left[{5}^{4}\right]}^{\frac{1}{4}} / {\left[{3}^{4}\right]}^{\frac{1}{4}} = {5}^{4 \times \frac{1}{4}} / {3}^{4 \times \frac{1}{4}} = \textcolor{b l u e}{\frac{5}{3}}$