SOLUTION: Can't figure this out for the life of me.Thanks in advance (3m^2/3-4m^-1/3) factor out m^-1/3

 

We can easily factor  out of the second
term.  So the only hitch is in factoring  out of the first term.  

Let's let P be the power of m that we leave inside the parentheses
when we factor  out of the first term.
That is, suppose P is such that the original expression factors 
like this:



Now let's multiply that back out by adding exponents of m 
on the first term:



That has to equal the power of m in the first term of the original:

 

So we must have .  Solve that for P
                
                
                

So we replace P by 1 in



and get:



or just:




Edwin