#### Answer

-$\frac{4}{27}$

#### Work Step by Step

$(-\frac{2}{3})^{3}$ $\times$$\frac{1}{2}$=-$\frac{2}{3}$$\times$-$\frac{2}{3}$$\times$ -$\frac{2}{3}$$\times$$\frac{1}{2}$=The product of 3 negative numbers is a negative number
=-$\frac{2\times2\times2\times1}{3\times3\times3\times2}$=
=-$\frac{2\times2\times1}{3\times3\times3}$=
=-$\frac{4}{27}$