How do you simplify $8^{\frac{4}{3}}$ $8^(4/3)$ ?

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Answer 1 · 2018-04-17T01:28:21

$8^{\frac{4}{3}} = 16$ $8^(4/3) = 16$

In order to simplify $8^{\frac{4}{3}}$ $8^(4/3)$

We begin by changing the denominator to a root and the numerator to a power.

${(\sqrt[3]{8})}^{4}$ $(root(3)8)^4$

Simplify the root
$(\sqrt[3]{8}) = 2$ $(root(3)8)=2$

$2^{4}$ $2^4$ = $16$ $16$

How do you simplify 8^(4/3)843 8^(4/3)?