$$(\frac{1}{2})^{-8}\cdot(\frac{2}{3})^{-2}\cdot(\frac{9}{4})^{3}$$
$6561$
$$256\times \left(\frac{2}{3}\right)^{-2}\times \left(\frac{9}{4}\right)^{3}$$
$$256\times \frac{9}{4}\times \left(\frac{9}{4}\right)^{3}$$
$$576\times \left(\frac{9}{4}\right)^{3}$$
$$576\times \frac{729}{64}$$
$$6561$$
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$3^{8}$
