1) $$-6a^4c^5 \cdot 5c^2a^6 = -6 \cdot 5 \cdot a^4 \cdot a^6 \cdot c^5 \cdot c^2 = -30a^{4+6}c^{5+2} = -30a^{10}c^7$$
2) $$(-6m^3n^2)^3 = (-6)^3 \cdot (m^3)^3 \cdot (n^2)^3 = -216m^{3\cdot 3}n^{2\cdot 3} = -216m^9n^6$$
Ответ: 1) $$-30a^{10}c^7$$, 2) $$-216m^9n^6$$