Basic Math Examples

$16 x^{3} \sqrt{x} + 16 \sqrt{x^{7}}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $x^{7}$ as ${(x^{3})}^{2} x$ .

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Step 1.1.1

Factor out $x^{6}$ .

$16 x^{3} \sqrt{x} + 16 \sqrt{x^{6} x}$

Step 1.1.2

Rewrite $x^{6}$ as ${(x^{3})}^{2}$ .

$16 x^{3} \sqrt{x} + 16 \sqrt{{(x^{3})}^{2} x}$

$16 x^{3} \sqrt{x} + 16 \sqrt{{(x^{3})}^{2} x}$

Step 1.2

Pull terms out from under the radical.

$16 x^{3} \sqrt{x} + 16 x^{3} \sqrt{x}$

$16 x^{3} \sqrt{x} + 16 x^{3} \sqrt{x}$

Step 2

Add $16 x^{3} \sqrt{x}$ and $16 x^{3} \sqrt{x}$ .

$32 x^{3} \sqrt{x}$

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