$$(\frac{8}{9})^{3}\div(\frac{2}{3})^{5}$$
$\frac{16}{3}\approx 5.333333333$
$$\frac{\frac{512}{729}}{\left(\frac{2}{3}\right)^{5}}$$
$$\frac{\frac{512}{729}}{\frac{32}{243}}$$
$$\frac{512}{729}\times \frac{243}{32}$$
$$\frac{512\times 243}{729\times 32}$$
$$\frac{124416}{23328}$$
$$\frac{16}{3}$$
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$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5.333333333333333$