\[\boxed{\text{1147\ (1147).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ A = a^{6}b^{9};\ \ \ \ \ n = 3:\ \ \]
\[B^{n} = \left( a^{2}b^{3} \right)^{3}.\]
\[2)\ A = 32a^{10};\ \ \ \ n = 5:\ \]
\(B^{n} = \left( 2a^{2} \right)^{5}\).
\[3)\ A = 81a^{2}b^{4}c^{8};\ \ n = 2:\ \]
\[B^{n} = \left( 9ab^{2}c^{4} \right)^{2}.\]
\[4)\ A = - 8a^{12}b^{18};\ \ n = 3:\ \ \]
\[B^{n} = \left( - 2a^{4}b^{6} \right)^{3}\text{\ .}\]