Question

Consider the expression (xy)^-2/(3y)^2x^-5 . The equivalent simplified form of this expression is

(A.) (x^4)/(9(y^3))
(B.) (x^3)/(9(y^4))
(C.) 1/(9(x^3)(y^4))
(D.) 9/(x^-7)

Answer 1

A (x^4)/(9(y^3)) i would solve the equation with a caculator

Answer 2

The simplified form is

`((xy)^(-2))/((3y)^2x^(-5))=(x^3)/(9y^4)`

Explanation:

`\text{Given the expression }((xy)^(-2))/((3y)^2x^(-5))`

we have to simplify the above expression.

`Expression: ((xy)^(-2))/((3y)^2x^(-5))`

`As, x^(-a)=(1)/(x^a)`

`((xy)^(-2))/((3y)^2x^(-5))`

`=(x^5)/((xy)^2* (3y)^2)`

`=(x^3)/(9y^4)`

which is the simplified form.

Option B is correct