$$( \frac { 2 } { 3 } ) ^ { 3 } \times ( \frac { 2 } { 3 } ) ^ { - 2 } \times [ ( \frac { 1 } { 2 } ) ^ { 2 } ] ^ { - 2 } \times \frac { 1 } { 24 }$$
$\frac{4}{9}\approx 0.444444444$
$$\left(\frac{2}{3}\right)^{3}\times \left(\frac{2}{3}\right)^{-2}\times \left(\frac{1}{2}\right)^{-4}\times \frac{1}{24}$$
$$\left(\frac{2}{3}\right)^{1}\times \left(\frac{1}{2}\right)^{-4}\times \frac{1}{24}$$
$$\frac{2}{3}\times \left(\frac{1}{2}\right)^{-4}\times \frac{1}{24}$$
$$\frac{2}{3}\times 16\times \frac{1}{24}$$
$$\frac{32}{3}\times \frac{1}{24}$$
$$\frac{4}{9}$$
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$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$
