Re: FullSimplify doesn't simplify

*To*: mathgroup at smc.vnet.net*Subject*: [mg32770] Re: [mg32762] FullSimplify doesn't simplify*From*: BobHanlon at aol.com*Date*: Sat, 9 Feb 2002 05:11:41 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

In a message dated 2/8/02 4:38:09 AM, kmorga51 at calvin.edu writes: >Does anyone know why Mathematica doesn't simplify the following to True? > >In[1] := FullSimplify[(x y)^n == (x^n)(y^n)] > >Out[1] := (x y)^n == (x^n)(y^n) > >Are there cases where this is not true? > (x*y)^n == (x^n)(y^n) /. {x->-3, y->-5, n->1.2} False Simplify[(x*y)^n==(x^n)(y^n), Element[{n}, Integers]] True Simplify[(x*y)^n==(x^n)(y^n), Element[{x, y}, Reals] && x>=0 && y>=0] True Bob Hanlon Chantilly, VA USA