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Question #cb023

1 Answer

Feb 20, 2017

$(16a)^(3/4)=color(green)(8root(4)(a^3))$

Explanation:

$(16a)^(3/4)$
$color(white)("XXX")=16^(3/4) * a^(3/4)$

$color(white)("XXX")=(16^(1/4))^3 * (a^3)^(1/4)$

$color(white)("XXX")=(root(4)(16))^3 * root(4)(a^3)$

$color(white)("XXX")=2^ 3 * root(4)(a^3)$

$color(white)("XXX")=8root(4)(a^3)$

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