Check my answer plz

Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents.
(-36x^2y/180x^-3y^-5)^-2

Question

Check my answer plz

Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents.
(-36x^2y/180x^-3y^-5)^-2

anonymous · Answer

Following the laws of exponents...

(ab)ⁿ = aⁿbⁿ
a^n/a^b = a^(n - b)

We obtain:

(-36x²y/180x^-3y^-5)²
=> (-36x²y)²/(180x^(-3)y^(-5))²
=> 1296x^4y²/(32400x^(-6)y^(-10))
=> x^4y²/25x^(-6)y^(-10)
=> x^(4 - (-6))y^(2 - (-10))/25
=> x^(10)y^(12)/25

angela210793 · Answer

isn't the exponent -2?

anonymous · Answer

-2

anonymous · Answer

you have it upside down. everything is correct except you ignored the minus sign

anonymous · Answer

should be 
$$\frac{25}{x^{10}y^{10}}$$