#### Answer

$\frac{1}{x^{\frac{11}{12}}}$

#### Work Step by Step

$\frac{x^{\frac{1}{4}}x^{-\frac{1}{2}}}{x^{\frac{2}{3}}}$
=$\frac{x^{\frac{1}{4}-\frac{1}{2}}}{x^{\frac{2}{3}}}$
=$\frac{x^{\frac{1-2}{4}}}{x^{\frac{2}{3}}}$
=$\frac{x^{\frac{-1}{4}}}{x^{\frac{2}{3}}}$
=$x^{-\frac{1}{4}-\frac{2}{3}}$
=$x^{\frac{-3-2(4)}{12}}$
=$x^{\frac{-11}{12}}$
=$\frac{1}{x^{\frac{11}{12}}}$