$$(\frac{3}{4})^{-1}\div(\frac{3}{2})^{2}$$
$\frac{16}{27}\approx 0.592592593$
$$\frac{\frac{4}{3}}{\left(\frac{3}{2}\right)^{2}}$$
$$\frac{\frac{4}{3}}{\frac{9}{4}}$$
$$\frac{4}{3}\times \frac{4}{9}$$
$$\frac{16}{27}$$
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$\frac{2 ^ {4}}{3 ^ {3}} = 0.5925925925925926$
