Question

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

A^3 b^-2/ab^-4
A=/0, b=/0

Answer 1

D. a^3 b^4 / ab^2

Explanation:

Answer 2

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

Explanation:

Given

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

`a\\e 0; b \\e 0`

Required

Evaluate

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

Apply the following law of indices:

`(x^m)/(x^n) = x^(m-n)`

So, the expression becomes:

`(a^3b^(-2))/(ab^(-4)) = a^(3-1)b^(-2-(-4))`

Remove brackets

`(a^3b^(-2))/(ab^(-4)) = a^(3-1)b^(-2+4)`

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