#### Answer

$\frac{32}{9}$

#### Work Step by Step

$(\frac{8}{13}\times\frac{39}{16}\times\frac{8}{9})^2\div\frac{1}{2}=(\frac{/\!\!8}{/\!\!\!13}\times\frac{/\!\!3\times/\!\!\!13}{/\!\!2\times/\!\!8}\times\frac{/\!\!2\times4}{3\times/\!\!3})^2\times\frac{2}{1}=(\frac{4}{3})^2\times\frac{2}{1}=$
$\frac{16}{9}\times\frac{2}{1}=\frac{32}{9}$