SOLUTION: Simplify: m^3/7/m^6/28

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Question 121204: Simplify: m^3/7/m^6/28
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28m%5E3%2F7%29%2F%28m%5E6%2F28%29 Start with the given expression

%28m%5E3%2F7%29%2A%28%2828%29%2F%28m%5E6%29%29 Multiply the first fraction by the reciprocal of the second fraction


%2828m%5E3%29%2F%287m%5E6%29 Combine the fractions


Now let's divide

m%5E%283-6%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


4m%5E-3 Simplify. Remember to reduce the coefficients (which are numbers in front of the variables) to get 28%2F7=4.


4%2Fm%5E3 Rewrite m%5E-3 as 1%2Fm%5E3




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Answer:

So %28m%5E3%2F7%29%2F%28m%5E6%2F28%29 simplifies to 4%2Fm%5E3.

In other words, %28m%5E3%2F7%29%2F%28m%5E6%2F28%29=4%2Fm%5E3.