Question

on simplifying (^3√x^2)^3/2​

Answer 1

Step-by-step explanation:

Hey friend,

Here is the answer you were looking for:

\begin{gathered} {( \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\end{gathered}

(

x

3

)

3

2

=

x

3×

3

2

=

x

2

usingtheidentity

a

2

=a

weget

x

2

=x

Hope this helps!!!