Algebra Examples

$4 x \sqrt[3]{64 x^{5}}$

Step 1

Rewrite $64 x^{5}$ as ${(4 x)}^{3} x^{2}$ .

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Step 1.1

Rewrite $64$ as $4^{3}$ .

$4 x \sqrt[3]{4^{3} x^{5}}$

Step 1.2

Factor out $x^{3}$ .

$4 x \sqrt[3]{4^{3} (x^{3} x^{2})}$

Step 1.3

Rewrite $4^{3} x^{3}$ as ${(4 x)}^{3}$ .

$4 x \sqrt[3]{{(4 x)}^{3} x^{2}}$

$4 x \sqrt[3]{{(4 x)}^{3} x^{2}}$

Step 2

Pull terms out from under the radical.

$4 x (4 x \sqrt[3]{x^{2}})$

Step 3

Multiply $x$ by $x$ by adding the exponents.

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Step 3.1

Move $x$ .

$4 (x \cdot x) (4 \sqrt[3]{x^{2}})$

Step 3.2

Multiply $x$ by $x$ .

$4 x^{2} (4 \sqrt[3]{x^{2}})$

$4 x^{2} (4 \sqrt[3]{x^{2}})$

Step 4

Multiply $4$ by $4$ .

$16 x^{2} \sqrt[3]{x^{2}}$

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