Answer
$x^{2}-1$
Work Step by Step
Simplify. $x^{\frac{-1}{4}}(x^{\frac{9}{4}}-x^{\frac{1}{4}})$
Thus,
$=x^{\frac{-1}{4}}x^{\frac{9}{4}}-x^{\frac{-1}{4}} x^{\frac{1}{4}}$
or, $=x^{\frac{-1}{4}+\frac{9}{4}}-x^{\frac{-1}{4}+\frac{1}{4}}$
or, $=x^{\frac{8}{4}}-x^{0}$
or, $=x^{2}-1$
