Выполните деление: (-(3m^2n^3)/(4b^4))^3∶(-(3m^3n)/(4b^6))^4.

Ответ:

\[\left( - \frac{3m^{2}n^{3}}{4b^{4}} \right)^{3}\ :\left( - \frac{3m^{3}n}{4b^{6}} \right)^{4} =\]

\[= - \frac{27m^{6}n^{9}}{64b^{12}}\ :\frac{81m^{12}n^{4}}{256b^{24}} =\]

\[= - \frac{27m^{6}n^{9} \cdot 256b^{24}}{64b^{12} \cdot 81m^{12}n^{4}} =\]

\[= - \frac{4n^{5}b^{12}}{3m^{6}}\]