Write in Exponential Form ( cube root of x^3)/( fifth root of x^2)

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

Step 1

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

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

Step 2

Divide $3$ by $3$ .

$\frac{x^{1}}{\sqrt[5]{x^{2}}}$

Step 3

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

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

Step 4

Simplify.

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