Algebra 2: Expression is same as

Question

The expression ((x³ y⁴ )^-2)/(x^-2y) is the same as

a. x^-4 y^-9

b. x^-8 y^-8

c. x⁴ y^-3

d. x⁴ y^-7

e. x^-4 y^-8

Explain how you got to your answer.

Answer 1

The right choice here is “a” with below explaination:

((x³y⁴)^-2)/(x^-2y)

= ((x^-6y^-8)/(x^-2y)

= (x^-6 /x^-2).(y^-8/y)

= (x^-6+2 ).(y^-8-1)

= x^-4y^-9