Algebra Examples

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

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

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

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Step 1.1.1

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

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

Step 1.1.2

Multiply by $1$ .

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

Step 1.1.3

Cancel the common factor.

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

Step 1.1.4

Rewrite the expression.

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

Step 1.2

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

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

Step 2

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

$x$