Question

Choose the correct rewriting of this algebraic fraction and give the exclusion represented by your choice.

4y(8y+24)^-1=

Answer 1

Answers:

y/(2)(y+3)

y /=/ -3

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Answer 2

`(y)/(2(x+3))`

Explanation:

We are given exponential expression
`4y(8y+24)^(-1)`.

First we need to remove that negative exponent from the (8y+24).

According to negative exponent rule, the expression (8y+24) would go in the bottom of 4y and it would become positive exponent.

Therefore,

`4y(8y+24)^(-1)` =
`(4y)/(8y+24)`

Factoring out gcf 8 in bottom expression 8y+24, we get 8(x+3).

Therefore,

`(4y)/(8(x+2))`

Dividing top and bottom by 4, we get

`(y)/(2(x+3))`

Therefore,
`(y)/(2(x+3))` is the simplest form of the given expression
`4y(8y+24)^(-1)`.