$${ 1 }^{ 2 } { 6 }^{ 2 } \frac{ { 9 }^{ 2 } }{ { 6 }^{ 2 } }$$
$81$
$$1\times 6^{2}\times \frac{9^{2}}{6^{2}}$$
$$1\times 36\times \frac{9^{2}}{6^{2}}$$
$$36\times \frac{9^{2}}{6^{2}}$$
$$36\times \frac{81}{6^{2}}$$
$$36\times \frac{81}{36}$$
$$36\times \frac{9}{4}$$
$$\frac{36\times 9}{4}$$
$$\frac{324}{4}$$
$$81$$
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$3^{4}$
