УПРОСТИТЕ ВЫРАЖЕНИЕ. ПОДРОБНОЕ РЕШЕНИЕ

Решите задачу:

$\frac{m^{\frac{1}{5}}*( \sqrt[5]{m^4}-\sqrt[5]{m^{-1}})}{m^{\frac{2}{3}}*(\sqrt[3]{m-\sqrt[3]{m^{-2}}})} = \\\\ = \frac{m^{\frac{1}{5}}*( m^{\frac{4}{5}}-m^{-\frac{1}{5}})}{m^{\frac{2}{3}}*(m^{\frac{1}{3}}-m^{-\frac{2}{3}})} = \\\\ = \frac{m^{(\frac{1}{5}+\frac{4}{5})}-m^{(\frac{1}{5}-\frac{1}{5}})}{m^{(\frac{2}{3}+\frac{1}{3})}-m^{(\frac{2}{3}-\frac{2}{3})})} = \\\\ = \frac{m^{\frac{5}{5}}-m^{0}}{m^{\frac{3}{3}}-m^{0})} = \\\\ = \frac{m-1}{m-1} = \\\\ = 1$