How do you simplify $4^{\frac{5}{2}}$ $4^ (5/2)$ ?

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How do you simplify $4^{\frac{5}{2}}$ $4^ (5/2)$ ?

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Answer 1 · 2016-07-29T10:43:20

$4^{\frac{5}{2}} = 32$ $4^(5/2) = 32$

Explanation:

$4^{\frac{5}{2}} = {(4^{\frac{1}{2}})}^{5} = 2^{5} = 32$ $4^(5/2) = (4^(1/2))^(5)=2^5=32$ [Ans]

Answer 2 · 2016-07-29T10:47:58

$= 32$ $=32$

Explanation:

$4^{\frac{5}{2}}$ $4^(5/2)$
$= \sqrt{4^{5}}$ $=sqrt(4^5)$
$= \sqrt{(4) (4) (4) (4) (4)}$ $=sqrt((4)(4)(4)(4)(4))$
$= (4) (4) \sqrt{4}$ $=(4)(4)sqrt(4)$
$= 16 \sqrt{4}$ $=16sqrt(4)$
$= 16 (2)$ $=16(2)$
$= 32$ $=32$

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