Rationale machten

Werk uit m.b.v. de rekenregels

\(\dfrac{x^{\frac{-1}{2}}}{x^{\frac{-1}{4}}}\)

\(\dfrac{x^{\frac{-1}{2}}}{x^{\frac{-1}{4}}}\\= x^{ \frac{-1}{2} - (\frac{-1}{4}) }= x^{\frac{-1}{4}}\\=\frac{1}{\sqrt[4]{ x }}=\frac{1}{\sqrt[4]{ x }}. \color{purple}{\frac{\sqrt[4]{ x^{3} }}{\sqrt[4]{ x^{3} }}} \\=\frac{\sqrt[4]{ x^{3} }}{|x|}\\---------------\)