$$A=(2\times3)^{-4}\times(2^{3})^{-2}\times3^{2}\times2^{-2}$$
$A=\frac{1}{36864}\approx 0.000027127$
$$A=\left(2\times 3\right)^{-4}\times 2^{-6}\times 3^{2}\times 2^{-2}$$
$$A=\left(2\times 3\right)^{-4}\times 2^{-8}\times 3^{2}$$
$$A=6^{-4}\times 2^{-8}\times 3^{2}$$
$$A=\frac{1}{1296}\times 2^{-8}\times 3^{2}$$
$$A=\frac{1}{1296}\times \frac{1}{256}\times 3^{2}$$
$$A=\frac{1}{331776}\times 3^{2}$$
$$A=\frac{1}{331776}\times 9$$
$$A=\frac{1}{36864}$$
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$A≔\frac{1}{36864}$
