Algebra Examples

${(\sqrt{x})}^{5}$

Step 1

Rewrite ${\sqrt{x}}^{5}$ as $\sqrt{x^{5}}$ .

$\sqrt{x^{5}}$

Step 2

Rewrite $x^{5}$ as ${(x^{2})}^{2} x$ .

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Step 2.1

Factor out $x^{4}$ .

$\sqrt{x^{4} x}$

Step 2.2

Rewrite $x^{4}$ as ${(x^{2})}^{2}$ .

$\sqrt{{(x^{2})}^{2} x}$

$\sqrt{{(x^{2})}^{2} x}$

Step 3

Pull terms out from under the radical.

$x^{2} \sqrt{x}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$