Algebra 1 problems involving dividing with exponents?

Question

I have a bunch of problems I need to do and I have no idea where to start. I'll put down a couple so I get the idea.

Perform each division.

1. -15y^4 / -9y^2

2. (2r^2+3r-14) / (r-2)

Answer 1

When you divide exponents with the same base you subtract/  Let me show you why

-15y^4 / -9y^2=

-15yyyy

----------- =

-9yy

5/3 y^2  (because the two ys at the bottom cancel with two ys at the top)

(2r^2+3r-14) / (r-2)

For this you have to factor the first term first:

=(2r + 7 )(r -  2)/ (r-2)

=2r + 7

Answer 2

I guess for the  second one you could do long division

......2r+7

......_________

r-2 /2r^2+3r-14

......2r^2-4r

......------------  (neg)

.......7r -14

.......7r-14

......------------ (neg)

......0

answer: 2r+7