Question

I need HELP PLS!!! ITS HARD TO DO I NEED HELP

Answer 1

B.

`x^{(7)/(6)}`

Explanation:

We have the following expression:

`\mleft(√(x)\mright)\mleft(\sqrt[3]{x^2}\mright)`

We simplify and we have:

`\begin{gathered} (\sqrt[]{x})=x^{(1)/(2)} \\ (\sqrt[3]{x^2})=x^{(2)/(3)} \\ \text{therefore:} \\ x^{(1)/(2)}\cdot x^{(2)/(3)}=x^{(1)/(2)+(2)/(3)} \\ (1)/(2)+(2)/(3)=(1\cdot3+2\cdot2)/(2\cdot3)=(3+4)/(6)=(7)/(6) \\ x^{(7)/(6)} \end{gathered}`