Answer
$-6a^{5}b^{3}c^{4}$
Work Step by Step
$(6a^{3}b^{2})(-a^{2}bc^{4})$
$= (-1)(6) \times a^{3} \times a^{2} \times b^{2} \times b \times c^{4}$
[Using $a^{m} \times a^{n} = a^{m+n}$]
$ = -6 a^{3+2} \times b^{2+1} \times c^{4}$
$= -6a^{5}b^{3}c^{4}$
