Answer
(a) to E
(b) to G
(c) to F
(d) to F
Work Step by Step
The matches are:
(a) to E
$(\frac{4}{9})^{3/2}=(\frac{2^2}{3^2})^{3/2}=(\frac{2}{3})^{3}=\frac{8}{27}$
(b) to G
$(\frac{4}{9})^{-3/2}=(\frac{2^2}{3^2})^{-3/2}=(\frac{2}{3})^{-3}=\frac{27}{8}$
(c) to F
$-(\frac{9}{4})^{3/2}=-(\frac{3^2}{2^2})^{3/2}=-(\frac{3}{2})^{3}=-\frac{27}{8}$
(d) to F
$-(\frac{4}{9})^{-3/2}=-(\frac{2^2}{3^2})^{-3/2}=-(\frac{2}{3})^{-3}=-\frac{27}{8}$
