Question

(HELP ME 15 PTS)

Simplify (3x^2 y^5 )^3/(2xy^3 )^4
Please show work, I need a accurate answer please

Answer 1

Answer:
`\bold{(27x^2y^3)/(16)}`

Explanation:

`((3x^2y^5)^3)/((2xy^3)^4)\\\\\\=(3^3\cdot x^(2\cdot 3)\cdot y^(5\cdot 3))/(2^4\cdot x^4\cdot y^(3\cdot 4))\\\\\\=(27\cdot x^6\cdot y^(15))/(16\cdot x^4\cdot y^(12))\\\\\\=(27\cdot x^(6-4)\cdot y^(15-12))/(16)\\\\\\=(27\cdot x^2\cdot y^3)/(16)`