$$(\frac{-4}{3})^{3}-(\frac{8}{9})^{3}$$
$-\frac{2240}{729}\approx -3.072702332$
$$\left(-\frac{4}{3}\right)^{3}-\left(\frac{8}{9}\right)^{3}$$
$$-\frac{64}{27}-\left(\frac{8}{9}\right)^{3}$$
$$-\frac{64}{27}-\frac{512}{729}$$
$$-\frac{2240}{729}$$
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$-\frac{2240}{729} = -3\frac{53}{729} = -3.072702331961591$
