SOLUTION: what is the solution for 14r to the 3rd power over r to the -8th power

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Question 902994: what is the solution for 14r to the 3rd power over r to the -8th power
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
14r to the 3rd power over r to the -8th power
14r%5E3%2Fr%5E%28-8%29

Rule for a factor of a numerator of a denominator with
a negative exponent:

1.  If the factor with the negative exponent is in the NUMERATOR,
    move it to the DENOMINATOR, changing the sign of the exponent 
    to positive.

and vice-verse:

2.  If the factor with the negative exponent is in the DENOMINATOR,
    move it to the NUMERATOR, changing the sign of the exponent 
    to positive.

    14r%5E3r%5E8


Since there was no other factor in the denominator (other than 1 understood),
we did not need to show a denominator of 1. 

Now we add the exponents and get

    14r%5E11   <-- final answer

----------------------------------------------

[However in other problems where the only factor is a negative exponent
(other than 1) we must show the understood 1 factor in the numerator.]

Suppose your problem was:

x%5E%28-3%29%2Fx%5E2

We would then bring the x%5E%28-3%29 to the denominator. But the next step 
would be

1%2F%28x%5E3x%5E2%29 not cross%28x%5E3x%5E2%29

We would have to put the understood 1 factor in the numerator.

And then add the exponents in the denominator:

1%2Fx%5E5

Edwin