\[\left( - \frac{4}{5}ab^{2}c^{3} \right)^{3} \cdot 5bc^{2} =\]
\[= - \frac{64}{125}a^{3}b^{6}c^{9} \cdot 5bc^{2} =\]
\[= - \frac{64}{25}a^{3}b^{7}c^{11} = - 2,56a^{3}b^{7}c^{11}.\]