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

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

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

Now let's reduce the fraction to get

So our new coefficient is 6

Now let's simplify the variables

When you divide by , simply subtract the exponents 4 from 3 to get which becomes the new exponent for m.
So

Now rewrite as

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Now let's write all of these expressions as one. So simply multiply , as one expression:

Now multiply and simplify

Remove the exponent of 1

So simplifies to

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