## Intermediate Algebra (6th Edition)

$x^{\frac{1}{5}}$
Given expression be $\frac{y}{x^{\frac{-2}{5}}}= x^{\frac{3}{5}}$ $y=x^{\frac{-2}{5}} \times x^{\frac{3}{5}}$ Using product rule for exponents, $y=x^{\frac{-2}{5} + \frac{3}{5} }$ $y=x^{\frac{-2+3}{5} }$ $y=x^{\frac{1}{5} }$