a) ((3x^2)^3 = 3^3 cdot (x^2)^3 = 27x^{2 cdot 3} = 27x^6)
б) ((4m)^2 = 4^2 cdot m^2 = 16m^2)
в) ((-2a^4b^2)^3 = (-2)^3 cdot (a^4)^3 cdot (b^2)^3 = -8a^{4 cdot 3}b^{2 cdot 3} = -8a^{12}b^6)
г) ((-3x^2y)^4 = (-3)^4 cdot (x^2)^4 cdot y^4 = 81x^{2 cdot 4}y^4 = 81x^8y^4)
д) ((-a^2bc^3)^5 = (-1)^5 cdot (a^2)^5 cdot b^5 cdot (c^3)^5 = -a^{2 cdot 5}b^5c^{3 cdot 5} = -a^{10}b^5c^{15})
е) ((-a^3b^2c)^2 = (-1)^2 cdot (a^3)^2 cdot (b^2)^2 cdot c^2 = a^{3 cdot 2}b^{2 cdot 2}c^2 = a^6b^4c^2)