$$(3a^{2})^{4}\times(2a^{6})^{2}$$
$324a^{20}$
$$\left(3a^{2}\right)^{4}\times \left(2a^{6}\right)^{2}$$
$$3^{4}\left(a^{2}\right)^{4}\times 2^{2}\left(a^{6}\right)^{2}$$
$$3^{4}\times 2^{2}\left(a^{2}\right)^{4}\left(a^{6}\right)^{2}$$
$$3^{4}\times 2^{2}a^{2\times 4}a^{6\times 2}$$
$$3^{4}\times 2^{2}a^{8}a^{6\times 2}$$
$$3^{4}\times 2^{2}a^{8}a^{12}$$
$$3^{4}\times 2^{2}a^{8+12}$$
$$3^{4}\times 2^{2}a^{20}$$
$$81\times 2^{2}a^{20}$$
$$81\times 4a^{20}$$
$$324a^{20}$$
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