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 ...

199

You visited us 199 times! Enjoying our articles? Unlock Full Access!

Indices in Rational Form

43/2=

Question

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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;
$= (4^{\frac{1}{2}})^{3}$
$= (\sqrt[2]{4})^{3}$
$= 2^{3}$
$= 8$

Suggest Corrections

Similar questions

\frac{97^{2} - 43^{2}}{97 - 43}

The value of $\frac{43^{3} - 27^{3}}{43^{2} + 43 \times 27 + 27^{2}}$ is :

\frac{43^{3} + 47^{3}}{43^{2} - 43 \times 47 + 47^{2}}

\frac{43^{3} + 47^{3}}{43^{2} - 43 \times 47 + 47^{2}}

(3 x + 4)^{3} - (3 x - 4)^{3}

{(x + \frac{2}{x})}^{3} + {(x - \frac{2}{x})}^{3}

Join BYJU'S Learning Program