$$\frac { ( \frac { 1 } { 2 } - \frac { - 1 } { 4 } ) ^ { 5 } } { ( 1 + \frac { 2 } { 3 } ) ^ { 3 } }$$
$\frac{6561}{128000}=0.051257812$
$$\frac{\left(\frac{1}{2}-\left(-\frac{1}{4}\right)\right)^{5}}{\left(1+\frac{2}{3}\right)^{3}}$$
$$\frac{\left(\frac{1}{2}+\frac{1}{4}\right)^{5}}{\left(1+\frac{2}{3}\right)^{3}}$$
$$\frac{\left(\frac{3}{4}\right)^{5}}{\left(1+\frac{2}{3}\right)^{3}}$$
$$\frac{\frac{243}{1024}}{\left(1+\frac{2}{3}\right)^{3}}$$
$$\frac{\frac{243}{1024}}{\left(\frac{5}{3}\right)^{3}}$$
$$\frac{\frac{243}{1024}}{\frac{125}{27}}$$
$$\frac{243}{1024}\times \frac{27}{125}$$
$$\frac{6561}{128000}$$
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$\frac{3 ^ {8}}{2 ^ {10} \cdot 5 ^ {3}} = 0.0512578125$
