SOLUTION: please show me how to do this equation 24x^3y^5 over......40x^7y^2 thanks a bunch.

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Question 187161: please show me how to do this equation

24x^3y^5 over......40x^7y^2

thanks a bunch.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%2824x%5E3y%5E5%29%2F%2840x%5E7y%5E2%29 Start with the given expression.


Expand. Note: 24x%5E3y%5E5=2%2A2%2A2%2A3%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay%2Ay%2Ay (there are 3 x's and 5 y's) and 40x%5E7y%5E2=2%2A2%2A2%2A5%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ay%2Ay (there are 7 x's and 2 y's)


Highlight the common terms.


Cancel out the common terms.


%283%2Ay%2Ay%2Ay%29%2F%285%2Ax%2Ax%2Ax%2Ax%29 Simplify.


%283%2Ay%5E3%29%2F%285%2Ax%5E4%29 Regroup and multiply.


So %2824x%5E3y%5E5%29%2F%2840x%5E7y%5E2%29 simplifies to %283%2Ay%5E3%29%2F%285%2Ax%5E4%29.


In other words, %2824x%5E3y%5E5%29%2F%2840x%5E7y%5E2%29=%283%2Ay%5E3%29%2F%285%2Ax%5E4%29 where x%3C%3E0 or y%3C%3E0



Note: this is the long way to solve this type of problem, but it helps you visualize what's going on.