# How do you simplify 16^(3/4)?

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#### Explanation

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#### Explanation:

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38
Jan 7, 2017

${16}^{\frac{3}{4}} = {\left({2}^{4}\right)}^{\frac{3}{4}} = {2}^{4 \cdot \frac{3}{4}} = {2}^{3} = 8$

#### Explanation:

Exponents obey the rule: ${\left({x}^{a}\right)}^{b} = {x}^{a b}$, at least when $x > 0$ or for any $x$ if $a , b$ are positive integers.

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