Answer
$$2x^{\frac{3}{4}}-x^{\frac{11}{12}}$$
Work Step by Step
We know that this expression is the same as telling us to multiply $f(x)$ and $g(x)$. Doing this, we find:
$$ \left(x^{\frac{1}{4}}\right)\left(2x^{\frac{1}{2}}-x^{\frac{2}{3}}\right)\\ \left(x^{\frac{1}{4}}\right)\cdot \:2x^{\frac{1}{2}}-\left(x^{\frac{1}{4}}\right)x^{\frac{2}{3}}\\ 2x^{\frac{3}{4}}-x^{\frac{11}{12}}$$