SOLUTION: x^5/y^3 / x^2/y^8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x^5/y^3 / x^2/y^8      Log On


   

Question 119323: x^5/y^3 / x^2/y^8
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E5%29%2F%28y%5E3%29%29%2F%28%28x%5E2%29%2F%28y%5E8%29%29 Start with the given expression

%28%28x%5E5%29%2F%28y%5E3%29%29%2A%28%28y%5E8%29%2F%28x%5E2%29%29 Multiply the first fraction by the reciprocal of the second fraction




%28x%5E5y%5E8%29%2F%28y%5E3x%5E2%29 Combine the fractions



x%5E%285-2%29y%5E%288-3%29 Remember when you divide monomials, you subtract their corresponding exponents. For instance x%5E2%2Fx%5E3=x%5E%282-3%29=x%5E-1


x%5E3y%5E5 Simplify.

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Answer:

So %28%28x%5E5%29%2F%28y%5E3%29%29%2F%28%28x%5E2%29%2F%28y%5E8%29%29 simplifies to x%5E3y%5E5.

In other words, %28%28x%5E5%29%2F%28y%5E3%29%29%2F%28%28x%5E2%29%2F%28y%5E8%29%29=x%5E3y%5E5.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E5%2Fy%5E3%29+%2F%28+x%5E2%2Fy%5E8%29......multiply outer and inner terms

x%5E5%2Ay%5E8%2F%28x%5E2%2Ay%5E3%29

x%5E%285-2%29y%5E%288-3%29

x%5E3y%5E5