$$(2a^{2}b)(4ab^{2})$$
$8\left(ab\right)^{3}$
$$2^{1}a^{2}b^{1}\times 4^{1}a^{1}b^{2}$$
$$2^{1}\times 4^{1}a^{2}a^{1}b^{1}b^{2}$$
$$2^{1}\times 4^{1}a^{2+1}b^{1+2}$$
$$2^{1}\times 4^{1}a^{3}b^{1+2}$$
$$2^{1}\times 4^{1}a^{3}b^{3}$$
$$8a^{3}b^{3}$$
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$24a^{2}b^{3}$
