а) (3x^2)^3 = 3^3 * (x^2)^3 = 27x^6
б) (4m)^2 = 4^2 * m^2 = 16m^2
в) (-2a^4b^2)^3 = (-2)^3 * (a^4)^3 * (b^2)^3 = -8a^{12}b^6
г) (-3x^2y)^2 = (-3)^2 * (x^2)^2 * y^2 = 9x^4y^2
д) (-a^2bc^3)^5 = (-1)^5 * (a^2)^5 * b^5 * (c^3)^5 = -a^{10}b^5c^{15}
e) (-a^3b^2c)^2 = (-1)^2 * (a^3)^2 * (b^2)^2 * c^2 = a^6b^4c^2
Ответ:
а) 27x^6
б) 16m^2
в) -8a^{12}b^6
г) 9x^4y^2
д) -a^{10}b^5c^{15}
e) a^6b^4c^2