$$(3a^{2})\times(2a^{6})^{2}$$
$12a^{14}$
$$3a^{2}\times 2^{2}\left(a^{6}\right)^{2}$$
$$3a^{2}\times 2^{2}a^{12}$$
$$3a^{2}\times 4a^{12}$$
$$12a^{2}a^{12}$$
$$12a^{14}$$
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