SOLUTION: Write in simplest form. 7x^10/21x^18

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Question 119828: Write in simplest form. 7x^10/21x^18
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%287x%5E10%29%2F%2821x%5E18%29 Start with the given expression.


x%5E%2810-18%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


%281%2F3%29x%5E-8 Simplify. Remember to reduce the coefficients (which are numbers in front of the variables) to get 7%2F21=1%2F3.




%281%2F3%29%281%2Fx%5E8%29 Rewrite x%5E-8 as 1%2Fx%5E8



1%2F3x%5E8 Combine the fractions



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Answer:

So %287x%5E10%29%2F%2821x%5E18%29 simplifies to 1%2F3x%5E8.

In other words, %287x%5E10%29%2F%2821x%5E18%29=1%2F3x%5E8.