[tex]125^{\frac{2}{3}} = 5^2 = 25[/tex]
[tex](\frac{1}{16})^{\frac{-1}{2}} = 16^{\frac{1}{2}} = 4[/tex]
[tex](\frac{1}{36}) ^{\frac{-3}{2}} = 36^{\frac{3}{2}}= 6^3 = 216[/tex]
[tex]216^{\frac{-2}{3}} = \frac{1}{36}[/tex]
[tex](\frac{27}{125})^{\frac{-2}{3}} = (\frac{3}{5})^{-2} = \frac{25}{9}[/tex]
[tex](\frac{25}{16})^{\frac{3}{2}} = (\frac{5}{4})^3 = \frac{125}{64}[/tex]