$$( \frac { 4 } { 9 } ) ^ { 3 } \times ( \frac { 4 } { 9 } ) ^ { - 2 } \times [ ( \frac { 1 } { 4 } ) ^ { 2 } ] ^ { - 2 } \times \frac { 1 } { 12 }$$
$\frac{256}{27}\approx 9.481481481$
$$\left(\frac{4}{9}\right)^{3}\times \left(\frac{4}{9}\right)^{-2}\times \left(\frac{1}{4}\right)^{-4}\times \frac{1}{12}$$
$$\left(\frac{4}{9}\right)^{1}\times \left(\frac{1}{4}\right)^{-4}\times \frac{1}{12}$$
$$\frac{4}{9}\times \left(\frac{1}{4}\right)^{-4}\times \frac{1}{12}$$
$$\frac{4}{9}\times 256\times \frac{1}{12}$$
$$\frac{1024}{9}\times \frac{1}{12}$$
$$\frac{256}{27}$$
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$\frac{2 ^ {8}}{3 ^ {3}} = 9\frac{13}{27} = 9.481481481481481$