Answer
25
Work Step by Step
We will use the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$ in the simplification of the expression:
$\frac{5^{\frac{3}{5}}}{5^{-\frac{7}{5}}}=5^{\frac{3}{5}-(-\frac{7}{5})}=5^{\frac{3}{5}+\frac{7}{5}}=5^{\frac{3+7}{5}}=5^{\frac{10}{5}}=5^{2}=25$
