Question

Simplify the expression
(8/125)^-2/3

Answer 1

\[\left(\frac{8}{125}\right)^{-\frac{2}{3}}\]


\[\left(\frac{125}{8}\right)^{\frac{2}{3}}\]


\[\left(\sqrt[3]{\frac{125}{8}}\right)^2\]


\[\left(\frac{5}{2}\right)^2\]


\[\frac{25}{4}\]



So \[\left(\frac{8}{125}\right)^{-\frac{2}{3}}=\frac{25}{4}\]