Question

Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents. (-27x^0y^-2/54x^-5y^-4)^-2

Answer 1

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

Exponent is negative, so flip the fraction!

54x^-5y^-4/-27x^0y^-2
54/-27 = -2
x^-5 = 1/x^5
y^-4/y^-2 = 1/y^2
-2
/
x^5y^2
Now, square that.
(-2/x^5y^2)^2 = 4/x^10y^4
4/x^10y^4