Chapter P, Prerequisites - Section P.4 - Rational Exponents and Radicals - P.4 Exercises - Page 30: 51

(a) 4 (b) $\frac{3}{2}$ (c) $\frac{8}{27}$

(a) $32^{2/5}=(32^{1/5})^{2}=2^{2}=4$ (b) $(\frac{4}{9})^{-1/2}=(\frac{9}{4})^{1/2}=\frac{\sqrt{9}}{\sqrt{4}}=\frac{3}{2}$ (c) $(\frac{16}{81})^{3/4}=(\frac{2}{3})^{3}=\frac{8}{27}$