$$2\times2\div6(7\times81)$$
$378$
$$\frac{4}{6}\times 7\times 81$$
$$\frac{2}{3}\times 7\times 81$$
$$\frac{2\times 7}{3}\times 81$$
$$\frac{14}{3}\times 81$$
$$\frac{14\times 81}{3}$$
$$\frac{1134}{3}$$
$$378$$
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$2\times 3^{3}\times 7$