Raise the quantity in parentheses to the indicated exponent and simplify the resulting expression with positive exponents.

Question

((-27x^0 y^(-2))/(54x^(-5) y^(-4) ))^(-2)

Answer 1

x^0 = 1, so you have
(54x^(-5) y^(-4))^-2 = 54x^10 y^8
-27y^-2 / 54x^10y^8 = -1/2x^10y^10 = -1/2 (xy)^-10

Answer 2

Starting out with almost all negative exponents, I don't see how you can wind up with positive exponents. Also, any value with a zero exponent = 1.