Выполните действия: ((a^-3*b^2)/2c)^2*((2c)^3*a^6)/(b^5)).

\[\left( \frac{a^{- 3} \cdot b^{2}}{2c} \right)^{2} \cdot \frac{(2c)^{3} \cdot a^{6}}{b^{5}} =\]

\[= \left( \frac{b^{2}}{2ca^{3}} \right)^{2} \cdot \frac{8c^{3}a^{6}}{b^{5}} =\]

\[= \frac{b^{4} \cdot 8c^{3}a^{6}}{4c^{2}a^{6} \cdot b^{5}} = \frac{2c}{b}.\]