SOLUTION: educe expression to the lowest terms. 4x^2 ____ 2x^9

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Question 120822: educe expression to the lowest terms.
4x^2
____
2x^9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284x%5E2%29%2F%282x%5E9%29 Start with the given expression.


x%5E%282-9%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


2x%5E-7 Simplify. Remember to reduce the coefficients (which are numbers in front of the variables) to get 4%2F2=2.



2%2Fx%5E7 Now flip x%5E-7 to get 1%2Fx%5E7



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Answer:

So %284x%5E2%29%2F%282x%5E9%29 simplifies to 2%2Fx%5E7.

In other words, %284x%5E2%29%2F%282x%5E9%29=2%2Fx%5E7.