SOLUTION: Multiply the fraction: [8x(y^5)/5x^3(y^2)] . [15y^2/16x(y^3)]

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Multiply the fraction: [8x(y^5)/5x^3(y^2)] . [15y^2/16x(y^3)]      Log On


   

Question 147996: Multiply the fraction:
[8x(y^5)/5x^3(y^2)] . [15y^2/16x(y^3)]
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%288xy%5E5%29%2F%285x%5E3y%5E2%29%29%28%2815y%5E2%29%2F%2816xy%5E3%29%29 Start with the given expression.



Expand %288xy%5E5%29%2F%285x%5E3y%5E2%29. Remember, 8xy%5E5=2%2A2%2A2%2Ax%2Ay%2Ay%2Ay%2Ay%2Ay and 5x%5E3y%5E2=5%2Ax%2Ax%2Ax%2Ay%2Ay



Expand %2815y%5E2%29%2F%2816xy%5E3%29. Remember, 15y%5E2=3%2A5%2Ay%2Ay and 16xy%5E3=2%2A2%2A2%2A2%2Ax%2Ay%2Ay%2Ay


Highlight the common terms.


Cancel out the common terms.


%28%28y%2Ay%29%2F%28x%2Ax%2Ax%29%29%28%283%29%2F%282%29%29 Simplify.


%28%28y%2Ay%29%283%29%29%2F%28%28x%2Ax%2Ax%29%282%29%29 Combine the fractions.


%283y%5E2%29%2F%282x%5E3%29 Multiply.


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Answer:

So %28%288xy%5E5%29%2F%285x%5E3y%5E2%29%29%28%2815y%5E2%29%2F%2816xy%5E3%29%29 simplifies to %283%2Ay%5E2%29%2F%282%2Ax%5E3%29.


In other words, where x%3C%3E0 or y%3C%3E0