Answer
$x^{\frac{5}{4}}$
Work Step by Step
We can use the product rule to simplify, which holds that $a^{m}\times a^{n}=a^{m+n}$ (where a is a real number, and m and n are positive integers).
$\frac{x^{\frac{1}{4}}x^{\frac{3}{4}}}{x^{-\frac{1}{4}}}=\frac{x^{\frac{1}{4}+\frac{3}{4}}}{x^{-\frac{1}{4}}}=\frac{x^{\frac{4}{4}}}{x^{-\frac{1}{4}}}$
Next, we can use the quotient rule, which holds that $\frac{a^{m}}{a^{n}}=a^{m-n}$ (where a is a nonzero real number, and m and n are integers).
$x^{\frac{4}{4}-(-\frac{1}{4}})=x^{\frac{5}{4}}$