$$(\frac{-4}{3})^{2}\times(\frac{-2}{3}-\frac{5}{3})\div\frac{-3}{2}$$
$\frac{224}{81}\approx 2.765432099$
$$\frac{\left(-\frac{4}{3}\right)^{2}\left(\frac{-2}{3}-\frac{5}{3}\right)}{\frac{-3}{2}}$$
$$\frac{\frac{16}{9}\left(\frac{-2}{3}-\frac{5}{3}\right)}{\frac{-3}{2}}$$
$$\frac{\frac{16}{9}\left(-\frac{2}{3}-\frac{5}{3}\right)}{\frac{-3}{2}}$$
$$\frac{\frac{16}{9}\left(-\frac{7}{3}\right)}{\frac{-3}{2}}$$
$$\frac{-\frac{112}{27}}{\frac{-3}{2}}$$
$$\frac{-\frac{112}{27}}{-\frac{3}{2}}$$
$$-\frac{112}{27}\left(-\frac{2}{3}\right)$$
$$\frac{224}{81}$$
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$\frac{2 ^ {5} \cdot 7}{3 ^ {4}} = 2\frac{62}{81} = 2.765432098765432$
