Product zelfde grondtal

Werk uit m.b.v. de rekenregels

\(x^{\frac{-2}{3}}.x^{\frac{-2}{5}}\)

\(x^{\frac{-2}{3}}.x^{\frac{-2}{5}}\\= x^{ \frac{-2}{3} + (\frac{-2}{5}) }= x^{\frac{-16}{15}}\\=\frac{1}{\sqrt[15]{ x^{16} }}\\=\frac{1}{x.\sqrt[15]{ x }}=\frac{1}{x.\sqrt[15]{ x }} \color{purple}{\frac{\sqrt[15]{ x^{14} }}{\sqrt[15]{ x^{14} }}} \\=\frac{\sqrt[15]{ x^{14} }}{x^{2}}\\---------------\)