How do you simplify $4^{\frac{3}{2}}$ $4^(3/2)$ ?

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Answer 1 · 2015-04-13T08:25:09

$4^{\frac{3}{2}}$ $4^(3/2)$

In genenral, $a^{\frac{m}{n}} = {(a^{m})}^{\frac{1}{n}}$ $color(blue)(a^(m/n) = (a^m)^(1/n)$

$4^{\frac{3}{2}} = {(4^{3})}^{\frac{1}{2}}$ $4^(3/2) = (4^3)^(1/2)$

$= {(64)}^{\frac{1}{2}}$ $= (64)^(1/2)$

$= \sqrt{64}$ $= sqrt (64)$

$= 8$ $= color(green)(8$

$4^{\frac{3}{2}} = 8$ $4^(3/2) = 8$

How do you simplify 4^(3/2)4324^(3/2)?