Write with Rational (Fractional) Exponents ( cube root of 5^2)/( fifth root of 5)

$\frac{\sqrt[3]{5^{2}}}{\sqrt[5]{5}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{5^{2}}$ as $5^{\frac{2}{3}}$ .

$\frac{5^{\frac{2}{3}}}{\sqrt[5]{5}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[5]{5}$ as $5^{\frac{1}{5}}$ .

$\frac{5^{\frac{2}{3}}}{5^{\frac{1}{5}}}$