Write in Exponential Form ( cube root of x^5)/( fifth root of x^2)

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

Step 1

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

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

Step 2

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

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