Question

What is (3√x²)¾. What is Three root X square power 3/4

Answer 1

Answer:

( cubeth root of x² ) ^3/4

= ( x ^2/3 ) ^3/4

[ Since ( a^m )^n = a ^ mn ]

= x ^ ( 2/3 × 3/4 )

= x ^1/2

= √x

Answer 2

${\blue{\underline{\underline{\bold{Given:-}}}}}$

• $( { \sqrt[3]{ {x}^{2} } })^{ \frac{3}{4} }$

${\green{\underline{\underline{\bold{Solution:-}}}}}$

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