Question

Simplify and show your work

Answer 1

`(27x^2y^3)/(16)`

Explanation:

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

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

`= (3^3x^6y^(15))/(2^4x^4y^(12))`

`= (27)/(16)x^(6-4)y^(15-12)`

`= (27x^2y^3)/(16)`

Answer 2

`(27)/(16) x^(2) y^(3)`

Explanation:

`(27x^(6) y^(15) )/(16x^(4) y^(12) )`

`(27)/(16) x^(2) y^(3)`