SOLUTION: I just want to make sure that i have done this correctly. Simplify {{{(m^4)^3/(m^3)^2}}}{{{(m^2)^9/(m^3)^2}}} This is what i have done. {{{(m^12)(m^18)/(m^6)}}} {{{(m^30)/(m^6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I just want to make sure that i have done this correctly. Simplify {{{(m^4)^3/(m^3)^2}}}{{{(m^2)^9/(m^3)^2}}} This is what i have done. {{{(m^12)(m^18)/(m^6)}}} {{{(m^30)/(m^6      Log On


   



Question 94066: I just want to make sure that i have done this correctly. Simplify
%28m%5E4%29%5E3%2F%28m%5E3%29%5E2%28m%5E2%29%5E9%2F%28m%5E3%29%5E2
This is what i have done. %28m%5E12%29%28m%5E18%29%2F%28m%5E6%29
%28m%5E30%29%2F%28m%5E6%29
%28m%5E30%29%2F%28m%5E6%29/6
m%5E5%29%2F%28m%29

Found 2 solutions by stanbon, praseenakos@yahoo.com:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify
%28m%5E4%29%5E3%2F%28m%5E3%29%5E2%28m%5E2%29%5E9%2F%28m%5E3%29%5E2
--------------------
(m^12)(m^18)/(m^12)
(m^30)/(m^12)
= m^18
-------------
Comment:
It looks like you thought you could put the numerator product
over a common denominator. Common denominators are needed for addition
and subtraction but factors in the denominators need to be multiplied
when multiplication of fractions is involved.
---------------
Cheers,
Stan H.

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question
Simplify
%28m%5E4%29%5E3%2F%28m%5E3%29%5E2%28m%5E2%29%5E9%2F%28m%5E3%29%5E2

Answer:
%28m%5E4%29%5E3%2F%28m%5E3%29%5E2%28m%5E2%29%5E9%2F%28m%5E3%29%5E2


==> %28m%5E12%29%28m%5E18%29%2F%28m%5E6%29%28m%5E6%29, [here you forgot one term, m%5E6]

==> %28m%5E30%29%2F%28m%5E12%29 , [Here also you made mistake....]

After this you can use the identity, +x%5Em%2Fx%5En+=+x%5E%28m-n%29+

%28m%5E30%29%2F%28m%5E6%29 = +m%5E%2830-+12%29

m%5E18%29


Hope you found the explanation useful.


Regards.

Praseena.