SOLUTION: Please help. struggling with homework. Thanks (m^4)^3(m^2)^9 ________over (m^3)^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help. struggling with homework. Thanks (m^4)^3(m^2)^9 ________over (m^3)^2      Log On


   

Question 83976: Please help. struggling with homework. Thanks
(m^4)^3(m^2)^9
________over
(m^3)^2
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:

(m^4)^3(m^2)^9
________over
(m^3)^2


Answer:

Here you have to use algebraic identities.....
First use the identity... +%28%28x%29%5Em%29%5En+ = x%5E%28m%2An%29+



%28+m%5E4+%29%5E3+%28m%5E2%29%5E9+%2F%28m%5E3%29%5E2+ = +m%5E%284%2A3%29+m%5E%282%2A9%29%2Fm%5E%283%2A2%29+



==>+m%5E12+%2A+m%5E18%2Fm%5E6+

Now use the identity... +x%5Em+%2A+x%5En+=+x%5E%28m%2Bn%29+


==> +m%5E%2812%2B+18%29+%2Fm%5E6+


==> +m%5E30+%2Fm%5E6+


==>+m%5E%2830-6%29+



==> +m%5E24+


Hope you found the explanation useful.


Regards.

Praseena.