SOLUTION: simplify 54m 3 power/9m 4 power

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Question 116594: simplify
54m 3 power/9m 4 power
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

54m%5E3%2F9m%5E4 Start with the given expression

First let's extract the coefficients (these are the numbers in front of the variables).
So the coefficient for the numerator is 54 and the coefficient for the denominator is 9. The division of these coefficients forms the fraction 54%2F9



Now let's reduce the fraction 54%2F9 to get 6

So our new coefficient is 6


Now let's simplify the variables



When you divide m%5E3 by m%5E4, simply subtract the exponents 4 from 3 to get 3-4=-1 which becomes the new exponent for m.
So m%5E3%2Fm%5E4=m%5E%283-4%29=m%5E-1


Now rewrite m%5E-1 as 1%2Fm%5E1


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Now let's write all of these expressions as one. So simply multiply 6,1%2Fm%5E1 as one expression:
%286%29%281%2Fm%5E1%29

Now multiply and simplify

6%2Fm%5E1

6%2Fm Remove the exponent of 1


So 54m%5E3%2F9m%5E4 simplifies to 6%2Fm