SOLUTION: Simplify. Write your answer with only positive exponents. Please show work. y^5/y^10

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify. Write your answer with only positive exponents. Please show work. y^5/y^10      Log On


   

Question 117807: Simplify. Write your answer with only positive exponents. Please show work.

y^5/y^10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28y%5E5%29%2F%28y%5E10%29 Start with the given expression.


y%5E%285-10%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


y%5E-5 Simplify.


1%2Fy%5E5 Rewrite y%5E-5 as 1%2Fy%5E5

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Answer:

So %28y%5E5%29%2F%28y%5E10%29 simplifies to 1%2Fy%5E5.

In other words, %28y%5E5%29%2F%28y%5E10%29=1%2Fy%5E5.