Question

SHOW YOUR WORK OR DO AN IN DEPTH STEP BY STEP EXPLANATION.

Simplify the equation down below.

Answer 1

`x^(11)`

Explanation:

Solving
`(x^7)/(x^-4)`

When solving
`(x^7)/(x^-4)` , we are dividing by the same base (x) as the numerator.

This means that we can combine the exponents and keep the same base of x.

We can rewrite
`(x^7)/(x^-4)` as
`x^(7 - (-4))`

This is because when we divide, we subtract the exponents. When multiplying, they are added.

`x^(7 - (-4))` simplifies to
`x^(7 + 4)` because two negatives multiplied make a positive.

Our simplified answer is
`x^(11)` as 11 = 7 + 4.

`x^(11)`