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