Find:
$(i)$ $9^{\frac{3}{2}}$
$(ii)$ $32^{\frac{2}{5}}$
$(iii)$ $16^{\frac{3}{4}}$
$(iv)$ $125^{-\frac{1}{3}}$

$(i)$ $9^{\frac{3}{2}} = (3^2)^{\frac{3}{2}} = 3^{2 \times \frac{3}{2}} = 3^3 = 27$
$(ii)$ $32^{\frac{2}{5}} = (2^5)^{\frac{2}{5}} = 2^{5 \times \frac{2}{5}} = 2^2 = 4$
$(iii)$ $16^{\frac{3}{4}} = (2^4)^{\frac{3}{4}} = 2^{4 \times \frac{3}{4}} = 2^3 = 8$
$(iv)$ $125^{-\frac{1}{3}} = (5^3)^{-\frac{1}{3}} = 5^{3 \times (-\frac{1}{3})} = 5^{-1} = \frac{1}{5}$