Which expression is equivalent to (x^-4 y / x^-9 y^5)^2

y^12 x^10

Step-by-step explanation:

Simplify the following:

((y y^5)/(x^4 x^(-9)))^2

Multiply the numerator of y/x^(-9) by the reciprocal of the denominator. y/x^(-9) = y x^9:

((y x^9 y^5)/(x^4))^2

Combine powers. (y x^9 y^5)/x^4 = y^(5 + 1) x^(9 - 4):

(y^(5 + 1) x^(9 - 4))^2

5 + 1 = 6:

(y^6 x^(9 - 4))^2

9 - 4 = 5:

(y^6 x^5)^2

Multiply each exponent in y^6 x^5 by 2:

y^(2×6) x^(2×5)

2×5 = 10:

y^(2×6) x^10

2×6 = 12:

y^12 x^10

step-by-step explanation: