If (4xy^3+8x^2y^5)/(2xy^2) is completely simplified to 2xayb + 4xcyd, where a, b, c, and d represent integer exponents, what is the value of a? _______

Question

If
`(4xy^3+8x^2y^5)/(2xy^2)` is completely simplified to 2xayb + 4xcyd, where a, b, c, and d represent integer exponents, what is the value of a? _______

Answer 1

Hi there!


`(4xy^(3) + 8x^(2)y^(5))/(2xy^2)`

Simplifying th' expression :-

⇒
`\frac {4xy^(3) (1 + 2xy^2)}{2xy^2}`

⇒
`2y (1 + 2xy^2)` ⇒
`2y + 4xy^3`

On Equating this from with simplified form provided in th' question :-

•
`a` = 1
•
`b` = 0
•
`c`= 1
•
`d`= 3

Hence,
According to th' question value of a = x⁰ = 1

~ Hope it helps