\[\boxed{\text{472\ (472).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[\textbf{а)}\ \left( 3x^{2} \right)^{3} = 3^{3} \cdot \left( x^{2} \right)^{3} = 27x^{6}\]
\[\textbf{б)}\ (4m)^{2} = 4^{2} \cdot m^{2} = 16m^{2}\]
\[\textbf{в)}\ \left( - 2a^{4}b^{2} \right)^{3} =\]
\[= ( - 2)^{3} \cdot \left( a^{4} \right)^{3} \cdot \left( b^{2} \right)^{3} =\]
\[= - 8a^{12}b^{6}\]
\[\textbf{г)}\ \left( - 3x^{2}y \right)^{4} =\]
\[= ( - 3)^{4} \cdot \left( x^{2} \right)^{4} \cdot y^{4} = 81x^{8}y^{4}\]
\[\textbf{д)}\ \left( - a^{2}bc^{3} \right)^{5} =\]
\[= \left( - a^{2} \right)^{5} \cdot b^{5} \cdot \left( c^{3} \right)^{5} =\]
\[= - a^{10}b^{5}c^{15}\]
\[\textbf{е)}\ \left( - a^{3}b^{2}c \right)^{2} =\]
\[= \left( - a^{3} \right)^{2} \cdot \left( b^{2} \right)^{2} \cdot c^{2} = a^{6}b^{4}c^{2}\]