We are using the exponent law that says that (a^m)^n = a^(m*n)
(-3a^2b)^3 = (-3)^3 * (a^2)^3 * (b)^3 = -27a^6b^3
(5 - 2x)^2 = (5 - 2x) (5-2x) = 25 - 10x -10x + 4x^2 = 4x^2 -20x + 25
(5p^2q^3)^4 = (5)^4 * (p^2)^4 * (q^3)^4 = 625p^8q^12
(-2xy^3)^4 = (-2)^4 * (x)^4 * (y^3)^4 = 16x^4y^12