sederhankan bentuk dari itu, tolong bantu saya

[tex](\frac{a^{\frac{1}{2}}b^{-3}}{a^{-1}{b^{-\frac{2}{3}}}})^{\frac{2}{3}} \\ \\ = (a^{(\frac{1}{2}+1)}b^{(-3+\frac{2}{3})})^{\frac{2}{3}} \\ \\ = (a^{\frac{3}{2}} b^{- \frac{7}{3}})^{\frac{2}{3}} \\ \\ = ab^{-\frac{14}{9}} \\ \\ = \frac{a}{b^{\frac{14}{9}}} [/tex]