Precalculus Examples

${(\sqrt[4]{16 x})}^{3}$

Step 1

Rewrite $16$ as $2^{4}$ .

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

Step 2

Pull terms out from under the radical.

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

Step 3

Simplify the expression.

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Step 3.1

Apply the product rule to $2 \sqrt[4]{x}$ .

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

Step 3.2

Raise $2$ to the power of $3$ .

$8 {\sqrt[4]{x}}^{3}$

Step 4

Rewrite ${\sqrt[4]{x}}^{3}$ as $\sqrt[4]{x^{3}}$ .

$8 \sqrt[4]{x^{3}}$