Выполните деление: (-(2p^4q^2)/(5m^8))^3∶(-(2p^5q^3)/(5m^6))^4.

Ответ:

\[\left( - \frac{2p^{4}q^{2}}{5m^{8}} \right)^{3}\ :\left( - \frac{2p^{5}q^{3}}{5m^{6}} \right)^{4} =\]

\[= - \frac{8p^{12}q^{6}}{125m^{24}}\ :\frac{16p^{20}q^{12}}{625m^{24}} =\]

\[= - \frac{8p^{12}q^{6} \cdot 625m^{24}}{125m^{24} \cdot 16p^{20}q^{12}} =\]

\[= - \frac{5}{2p^{8}q^{6}}\]