Algebra Examples

$\sqrt[3]{8^{5}} + {(\sqrt{16})}^{4}$

Step 1

Simplify each term.

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Step 1.1

Raise $8$ to the power of $5$ .

$\sqrt[3]{32768} + {(\sqrt{16})}^{4}$

Step 1.2

Rewrite $32768$ as $32^{3}$ .

$\sqrt[3]{32^{3}} + {(\sqrt{16})}^{4}$

Step 1.3

Pull terms out from under the radical, assuming real numbers.

$32 + {(\sqrt{16})}^{4}$

Step 1.4

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

$32 + {\sqrt{4^{2}}}^{4}$

Step 1.5

Pull terms out from under the radical, assuming positive real numbers.

$32 + 4^{4}$

Step 1.6

Raise $4$ to the power of $4$ .

$32 + 256$

Step 2

Add $32$ and $256$ .

$288$