Simplify ( fifth root of x^2)/( fifth root of x)

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

Combine $\sqrt[5]{x^{2}}$ and $\sqrt[5]{x}$ into a single radical.

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

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{x^{2}}{x}$ by cancelling the common factors.

Factor $x$ out of $x^{2}$ .

$\sqrt[5]{\frac{x \cdot x}{x}}$

Raise $x$ to the power of $1$ .

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

Factor $x$ out of $x^{1}$ .

$\sqrt[5]{\frac{x \cdot x}{x \cdot 1}}$

Cancel the common factor.

$\sqrt[5]{\frac{x \cdot x}{x \cdot 1}}$

Rewrite the expression.

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

Divide $x$ by $1$ .

$\sqrt[5]{x}$