$$(6^{2})^{3}\times12^{4}\div[4^{5}\times9^{4}]$$
$144$
$$\frac{6^{6}\times 12^{4}}{4^{5}\times 9^{4}}$$
$$\frac{46656\times 12^{4}}{4^{5}\times 9^{4}}$$
$$\frac{46656\times 20736}{4^{5}\times 9^{4}}$$
$$\frac{967458816}{4^{5}\times 9^{4}}$$
$$\frac{967458816}{1024\times 9^{4}}$$
$$\frac{967458816}{1024\times 6561}$$
$$\frac{967458816}{6718464}$$
$$144$$
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$2^{4}\times 3^{2}$