These are two terms, similar in base and different in powers
so what we need to is just add the powers as they are multiplied to each other
[tex]x^2* \sqrt[3]{x} =x^2*x^{ \frac{1}{3} }=x^{ 1+\frac{1}{3} }=x^{ \frac{4}{3} }= \sqrt[3]{x^4} [/tex]
Pick the final form you like.
I hope that
helps!