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

Answer 1

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

Answer 2

isn't the exponent -2?

Answer 3

-2

Answer 4

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

Answer 5

should be
\[\frac{25}{x^{10}y^{10}}\]