Algebra Examples

$\frac{\sqrt[4]{x^{9}}}{\sqrt[4]{x^{2}}}$

Step 1

Combine $\sqrt[4]{x^{9}}$ and $\sqrt[4]{x^{2}}$ into a single radical.

$\sqrt[4]{\frac{x^{9}}{x^{2}}}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Reduce the expression $\frac{x^{9}}{x^{2}}$ by cancelling the common factors.

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Step 2.1.1

Factor $x^{2}$ out of $x^{9}$ .

$\sqrt[4]{\frac{x^{2} x^{7}}{x^{2}}}$

Step 2.1.2

Multiply by $1$ .

$\sqrt[4]{\frac{x^{2} x^{7}}{x^{2} \cdot 1}}$

Step 2.1.3

Cancel the common factor.

$\sqrt[4]{\frac{x^{2} x^{7}}{x^{2} \cdot 1}}$

Step 2.1.4

Rewrite the expression.

$\sqrt[4]{\frac{x^{7}}{1}}$

Step 2.2

Divide $x^{7}$ by $1$ .

$\sqrt[4]{x^{7}}$

Step 3

Factor out $x^{4}$ .

$\sqrt[4]{x^{4} x^{3}}$

Step 4

Pull terms out from under the radical.

$| x | \sqrt[4]{x^{3}}$