Rationale machten

Werk uit m.b.v. de rekenregels

\(\dfrac{x^{\frac{2}{5}}}{x^{\frac{5}{3}}}\)

\(\dfrac{x^{\frac{2}{5}}}{x^{\frac{5}{3}}}\\= x^{ \frac{2}{5} - \frac{5}{3} }= x^{\frac{-19}{15}}\\=\frac{1}{\sqrt[15]{ x^{19} }}\\=\frac{1}{x.\sqrt[15]{ x^{4} }}=\frac{1}{x.\sqrt[15]{ x^{4} }} \color{purple}{\frac{\sqrt[15]{ x^{11} }}{\sqrt[15]{ x^{11} }}} \\=\frac{\sqrt[15]{ x^{11} }}{x^{2}}\\---------------\)