Решебник по алгебре 7 класс Мерзляк Задание 231

\[\boxed{\text{231\ (231).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\ a^{2} \cdot b^{6} = a^{2} \cdot \left( b^{3} \right)^{2} = \left( ab^{3} \right)^{2}\]

\[2)\ x^{8}y^{14} = \left( x^{4} \right)^{2} \cdot \left( y^{7} \right)^{2} =\]

\[= \left( x^{4}y^{7} \right)^{2}\]

\[3)\ x^{4}y^{10}z^{18} =\]

\[= \left( x^{2} \right)^{2} \cdot \left( y^{5} \right)^{2} \cdot \left( z^{9} \right)^{2} =\]

\[= \left( x^{2}y^{5}z^{9} \right)^{2}\]

\[4)\ 4m^{12}n^{16} =\]

\[= 2^{2} \cdot \left( m^{6} \right)^{2} \cdot \left( n^{8} \right)^{2} = \left( 2m^{6}n^{8} \right)^{2}\]

\[5)\ 81c^{10}d^{32}p^{44} =\]

\[= 9^{2} \cdot \left( c^{5} \right) \cdot \left( d^{16} \right)^{2} \cdot \left( p^{22} \right)^{2} =\]

\[= \left( 9c^{5}d^{16}p^{22} \right)^{2}\]