## anonymous one year ago Simplify (x^-4) over (x^-2). I know this is really simple I just don't know how to go about solving it >.<

1. anonymous

@freckles

2. freckles

$\frac{x^{a}}{x^{b}}=x^{a-b} \text{ by quotient rule }$

3. freckles

you have the same base so your answer will be that base to the power of (top exponent - bottom exponent )

4. anonymous

So, x^-2?

5. freckles

-4-(-2) -4+2 -2 the exponent is -2 good job! :)

6. freckles

and from previous thread you can rewrite without negative exponent by doing,,

7. anonymous

Ahh, I love you! Thanks a bunch

8. freckles

$x^{-a}=\frac{1}{x^{a}}$

9. freckles

np

10. anonymous

Exactly what I was going to do ;)

11. freckles

great stuff!