SOLUTION: what is the solution for w to the 3rd power y to the 13th power over w to the 11thpower y to the 6th

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Question 902996: what is the solution for w to the 3rd power y to the 13th power over w to the 11thpower y to the 6th
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
what is the solution for w to the 3rd power y to the 13th power over w to the 11thpower y to the 6th
%28w%5E3y%5E13%29%2F%28w%5E11y%5E6%29

Rule for when a factor of the numerator has the same 
base as a factor in the denominator but a different 
exponent:

1. Subtract the exponents (larger minus smaller). 
2. put the resulting exponent in the numerator or denominator, 
depending on which place the larger exponent was before.
3. eliminate the factor where the smaller exponent was located.

In

%28w%5E3y%5E13%29%2F%28w%5E11y%5E6%29

We notice that w has a larger exponent in the denominator than
it has in the numerator.

We subtract the exponents (larger minus smaller) 11-3=8 and
we put w%5E8 in the denominator, for that's where the larger
exponent of w was.
We eliminate the w from the numerator.

y%5E13%2F%28w%5E8y%5E6%29

We also notice that y has a larger exponent in the numerator than
it has in the denominator.

We subtract the exponents (larger minus smaller) 13-6=7 and so
we put y%5E7 in the numerator for that's where the larger
exponent of y was.
We eliminate the y from the denominator

Final answer:

y%5E7%2Fw%5E8

We could have done both those in one step.

Edwin