Simplify cube root of (x^5)/(x^2)

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

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{x^{5}}{x^{2}}$ by cancelling the common factors.

Factor $x^{2}$ out of $x^{5}$ .

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

Multiply by $1$ .

$\sqrt[3]{\frac{x^{2} x^{3}}{x^{2} \cdot 1}}$

Cancel the common factor.

$\sqrt[3]{\frac{x^{2} x^{3}}{x^{2} \cdot 1}}$

Rewrite the expression.

$\sqrt[3]{\frac{x^{3}}{1}}$

Divide $x^{3}$ by $1$ .

$\sqrt[3]{x^{3}}$

Pull terms out from under the radical, assuming real numbers.

$x$