\[- \left( - a^{3}b^{2}c \right)^{4} =\]
\[= - ( - 1)^{4}\left( a^{3} \right)^{4}\left( b^{2} \right)^{4}c^{4} =\]
\[= a^{12}b^{8}c^{4}.\]