Answer
$\frac{2}{3}$
Work Step by Step
$6(\frac{2}{3})^{2}(\frac{1}{2})^{2}$ = $6(\frac{2}{3})(\frac{2}{3})(\frac{1}{2})(\frac{1}{2})$ = $(\frac{6}{1})(\frac{1}{3})(\frac{1}{3})(\frac{1}{1})(\frac{1}{1})$ = $\frac{6}{9}$ = $\frac{2}{3}$
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