Question

Which shows the following expression after the negative exponents have been eliminated?

Answer 1

Explanation:

option D

Answer 2

`(a^3b^4)/(ab^2)` which is the last choice in the question

Explanation:

Simplify

`(a^3b^(-2))/(ab^(-4)) = (a^3)/(a)(b^(-2))/(b^(-4))`

Using the fact that
`(x^m)/(x^n) =x^(m-n)`

We get

`(a^3)/(a) = a^(3-1) = a^2`

`(b^(-2))/(b^(-4)) = b^(-2-(-4)) = b^2`

So

`(a^3b^(-2))/(ab^(-4)) =a^2b^2`

Multiplying numerator and denominator by
`ab^2` gives

`a^2b^2 (ab^2)/(ab^2)`

=
`(a^3b^4)/(ab^2)` ANSWER

Hint:

We can eliminate first choice since negative exponents still remain

We can eliminate third choice because the expression has a minus sign which is not possible

That just leaves second and fourth choices to work with