Simplify $\frac{(2^{2})^{3}}{(3^{2})^{2}}$

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Solution

$\frac{(2^{2})^{3}}{(3^{2})^{2}} = \frac{2^{2 \times 3}}{3^{2 \times 2}} = \frac{2^{6}}{3^{4}} = \frac{64}{81}$ .

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