Basic Math Examples

$3 {(\sqrt{64 p})}^{3}$

Step 1

Rewrite $64$ as $8^{2}$ .

$3 {\sqrt{8^{2} p}}^{3}$

Step 2

Pull terms out from under the radical.

$3 {(8 \sqrt{p})}^{3}$

Step 3

Simplify the expression.

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Step 3.1

Apply the product rule to $8 \sqrt{p}$ .

$3 (8^{3} {\sqrt{p}}^{3})$

Step 3.2

Raise $8$ to the power of $3$ .

$3 (512 {\sqrt{p}}^{3})$

$3 (512 {\sqrt{p}}^{3})$

Step 4

Rewrite ${\sqrt{p}}^{3}$ as $\sqrt{p^{3}}$ .

$3 (512 \sqrt{p^{3}})$

Step 5

Factor out $p^{2}$ .

$3 (512 \sqrt{p^{2} p})$

Step 6

Pull terms out from under the radical.

$3 (512 (p \sqrt{p}))$

Step 7

Multiply $512$ by $3$ .

$1536 p \sqrt{p}$

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