SOLUTION: simplify 4m^4n^3p^3/3m^2n^2p^4

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: simplify 4m^4n^3p^3/3m^2n^2p^4      Log On


   

Question 140001: simplify 4m^4n^3p^3/3m^2n^2p^4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%284m%5E4n%5E3p%5E3%29%2F%283m%5E2n%5E2p%5E4%29 Start with the given expression.


m%5E%284-2%29n%5E%283-2%29p%5E%283-4%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


%284%2F3%29%28m%5E2n%5E1p%5E-1%29 Simplify. Remember to reduce the coefficients (which are numbers in front of the variables) to get 4%2F3=4%2F3.


%284%2F3%29%28m%5E2n%2Fp%29 Flip the expression with a negative exponent.


%284m%5E2n%29%2F%283p%29 Simplify



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Answer:

So %284m%5E4n%5E3p%5E3%29%2F%283m%5E2n%5E2p%5E4%29 simplifies to %284m%5E2n%29%2F%283p%29.

In other words, %284m%5E4n%5E3p%5E3%29%2F%283m%5E2n%5E2p%5E4%29=%284m%5E2n%29%2F%283p%29 where m%3C%3E0 and n%3C%3E0