(2x^3 y^2) (x^2 y) ^4 over (-4x^-4 y)^-6
(2x^3 y^2) (x^2 y) ^4 now factor
(-4x^-4 y)^-6
add exponents when multiplying them
2x^3 y^2 x^(2*4) y^4
-4^-6 x^(-4*-6) y^(-6)
negative exponents flip
2x^11y^6 * -4^6 y^6
x^24
subtract exponents when you divide
8192 x ^11 y^6
x^24
8192 y^6
x^13