The correct option is A 8Using nbsp;a^m/n=(a^1/n)^m =√(a))^m 4^3/2 can be written as; =(4^1/2)^3 =(√(4))^3 =2^3 =8 ...

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Indices in Rational Form

43/2=

Question

$4^{\frac{3}{2}}$ =.

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Solution

The correct option is A 8
Using $a^{\frac{m}{n}}$ = $(a^{\frac{1}{n}})^{m}$ = $\sqrt[n]{a})^{m}$
$4^{\frac{3}{2}}$ can be written as;
$= (4^{\frac{1}{2}})^{3}$
$= (\sqrt[2]{4})^{3}$
$= 2^{3}$
$= 8$

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