Question

How do you simplify `\frac { 2x ^ { - 3} y ^ { 2} } { 3x ^ { 2} y ^ { - 2} }`?

Answer 1

`(2y^4)/(3x^5)`

Explanation:

Combine like terms and then use the rules for exponents to simplify:

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

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

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

`(2y^4)/(3x^5)`