Answer
$2\sqrt[3] 5$
Work Step by Step
$\frac{10}{25^{\frac{1}{3}}}=\frac{10}{(5^2)^{\frac{1}{3}}}=\frac{10}{5^{\frac{2}{3}}}=\frac{10\cdot5^{\frac{1}{3}}}{5^{\frac{2}{3}}\cdot5^{\frac{1}{3}}}=\frac{10\cdot\sqrt[3] 5}{5^{\frac{2}{3}}\cdot5^{\frac{1}{3}}}=\frac{10\cdot\sqrt[3] 5}{5}=2\sqrt[3] 5$