Question 83976
Question: 


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



Answer:


Here you have to use algebraic identities.....

First use the identity... {{{ ((x)^m)^n }}} = {{{x^(m*n) }}}




{{{( m^4 )^3 (m^2)^9 /(m^3)^2 }}} = {{{ m^(4*3) m^(2*9)/m^(3*2) }}}




==>{{{ m^12 * m^18/m^6 }}}


Now use the identity... {{{ x^m * x^n = x^(m+n) }}}



==> {{{ m^(12+ 18) /m^6 }}}



==> {{{ m^30 /m^6 }}}



==>{{{ m^(30-6) }}}




==> {{{ m^24 }}}



Hope you found the explanation useful.



Regards.


Praseena.