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

i)\((9)^{\frac{3}{2}} \)
\( = (3 × 3)^{\frac{3}{2}}\)
\(= 3^{2 × \frac{3}{2}}\)
\( = 3^{3} = 27\)

ii) \((32)^{\frac{2}{5}} \)
\(= (2 × 2 × 2 × 2 × 2)^{\frac{2}{5}}\)
\( = 2^{\frac{2}{5} × 5}\)
\(= 2^2 = 4\)

iii) \((16)^{\frac{3}{4}} \)
\( = (2 × 2 × 2 × 2)^{\frac{3}{4}}\)
\( = 2^{4 × \frac{3}{4}}\)
\(=2^{3} = 8\)

iv) \((125)^{\frac{-1}{3}} \)
\( = (5 × 5 × 5)^{\frac{-1}{3}}\)
\( = 5^{3 × (\frac{-1}{3})}\)
\( = 5^{-1} = \frac{1}{5} \)