SOLUTION: I'm really confused with this problem - please help Simplify the expression; making sure there are no negative exponents (6r^-1)^2 (2r^-4) ----------- ------ r^-5 (r^2)^-3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I'm really confused with this problem - please help Simplify the expression; making sure there are no negative exponents (6r^-1)^2 (2r^-4) ----------- ------ r^-5 (r^2)^-3      Log On


   

Question 106789This question is from textbook
: I'm really confused with this problem - please help
Simplify the expression; making sure there are no negative exponents
(6r^-1)^2 (2r^-4)
------------------
r^-5 (r^2)^-3 This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:

Recall that when you raise one power to another power, you multiply the exponents, so let's do that first.
Now we'll multiply the factors in the numerator. Remember to add the exponents.
12r%5E%28-6%29%2Fr%5E%28-5%29%28r%5E%28-6%29%29 Cancel the r%5E%28-6%29 leaving:
12%2Fr%5E%28-5%29 Now, using the fact that:1%2Fx%5E%28-n%29+=+x%5En we end up with:
highlight%2812r%5E5%29