#### Answer

$\frac{15}{16}$

#### Work Step by Step

$(-\frac{3}{4})^{2}+\frac{3}{8}$
$=(-\frac{3}{4})(-\frac{3}{4})+\frac{3}{8}$
$=--(\frac{3}{4}\times\frac{3}{4})+\frac{3}{8}$
$=\frac{3}{4}\times\frac{3}{4}+\frac{3}{8}$
$=\frac{9}{16}+\frac{3}{8}$
$=\frac{9}{16}+\frac{6}{16}$
$=\frac{15}{16}$