Answer
$-a^{10}b^{11}c^{12}$
Work Step by Step
Using the laws of exponents, the given expression, $
(ab^2c^3)^4(-a^2b)^3
,$ simplifies to
\begin{array}{l}\require{cancel}
a^{1(4)}b^{2(4)}c^{3(4)}\cdot (-1)^3a^{2(3)}b^{1(3)}
\\\\=
a^{4}b^{8}c^{12}\cdot (-1)a^{6}b^{3}
\\\\=
(-1)a^{4+6}b^{8+3}c^{12}
\\\\=
-a^{10}b^{11}c^{12}
.\end{array}
