Answer
$-a^{12}b^{5}c^{9}$
Work Step by Step
Using the laws of exponents, the given expression, $
(-a^2bc^3)^3(a^3b)^2
,$ simplifies to
\begin{array}{l}\require{cancel}
(-1)^3a^{2(3)}b^{1(3)}c^{3(3)}\cdot a^{3(2)}b^{1(2)}
\\\\=
(-1)a^{6}b^{3}c^{9}\cdot a^{6}b^{2}
\\\\=
(-1)a^{6+6}b^{3+2}c^{9}
\\\\=
-a^{12}b^{5}c^{9}
.\end{array}
