SOLUTION: I don't know how to divide this. -78r^11 _____ -3r^7 What is the quotient?

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Question 464546: I don't know how to divide this.
-78r^11
_____
-3r^7
What is the quotient?
Found 3 solutions by Alan3354, ewatrrr, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
-78/-3 = 26
---------
Subtract the exponents when dividing
11 - 7 = 4
--> 26r%5E4

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

When dividing exponents: x%5Em%2Fx%5En=x%5E%28m-n%29

%28-78r%5E11%29%2F%28-3r%5E7%29+=+26r%5E4

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

-78r%5E11%2F-3r%5E7.......you are dividing two negative products and result will be positive
=78r%5E11%2F3r%5E7....now both numerator and denominator divide by 3
=cross%2878%2926r%5E11%2Fcross%283%291r%5E7
=26r%5E11%2Fr%5E7......now use exponent rule a%5Ex%2Fa%5Ey=a%5E%28x-y%29
=26r%5E%2811-7%29
=26r%5E4..this is the quotient