Simplify

(X^3)^-4(-2x^-2)^-3

(x^3)^-4 = x^-12

(-2x^-2)^-3 = (-2)^-3 (x^-2)^-3 = -1/8 x^6

multiply those and you have -1/8 x^-6 = -1/(8x^6)