1. $$(5d^2)^2 \cdot (d^3)^6 = 25d^{22}$$
Раскроем скобки, используя свойства степеней: $$25d^4 \cdot d^{18} = 25d^{22}$$
$$25d^{4+18} = 25d^{22}$$
$$25d^{22} = 25d^{22}$$
Ответ: $$25d^{22}$$