Question

simplify (√x^3)^2/3 . does anyone know the answer of this question?

Answer 1

Hey friend,
Here is the answer you were looking for:
${( \sqrt{x} }^{3} )^{ \frac{2}{3} } \\ \\ = \sqrt{x} ^{3 \times \frac{2}{3} } \\ \\ = { \sqrt{x} }^{2} \\ \\ using \: the \: identity \\ { \sqrt{a} }^{2} = a \\ \\ we \: get \\ \\ { \sqrt{x} }^{2} = x$

Hope this helps!!!

@Mahak24

Thanks...
☺☺

Answer 2

${ (\sqrt{ {x}^{3} }) }^{ \frac{2}{3} } \\ {( {x}^{ \frac{3}{2} } )}^{ \frac{2}{3} } \\ = {x}^{ \frac{3}{2} \times \frac{2}{3} } = x$