$${ 6 }^{ 2 } / { 4 }^{ 2 } { 6 }^{ 2 } 6$$
$486$
$$\frac{6^{2}}{4^{2}}\times 6^{3}$$
$$\frac{36}{4^{2}}\times 6^{3}$$
$$\frac{36}{16}\times 6^{3}$$
$$\frac{9}{4}\times 6^{3}$$
$$\frac{9}{4}\times 216$$
$$\frac{9\times 216}{4}$$
$$\frac{1944}{4}$$
$$486$$
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$2\times 3^{5}$