#### Answer

$x^{\frac{5}{4}}$

#### Work Step by Step

$\frac{x^{\frac{1}{4}}\times x^{\frac{3}{4}}}{x^{-\frac{1}{4}}}$
=$\frac{x^{\frac{1}{4}+\frac{3}{4}}}{x^{-\frac{1}{4}}}$
=$\frac{x^{\frac{1+3}{4}}}{x^{-\frac{1}{4}}}$
=$\frac{x^{\frac{4}{4}}}{x^{-\frac{1}{4}}}$
=$\frac{x^{1}}{x^{-\frac{1}{4}}}$
=$x^{1+\frac{1}{4}}$
=$x^{\frac{4+1}{4}}$
=$x^{\frac{5}{4}}$