Re: FullSimplify doesn't simplify
- To: mathgroup at smc.vnet.net
- Subject: [mg32783] Re: [mg32762] FullSimplify doesn't simplify
- From: "Peter Bertok" <peter at bertok.com>
- Date: Sat, 9 Feb 2002 05:12:05 -0500 (EST)
- References: <200202080849.DAA12004@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
> 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)
The following work:
FullSimplify[(x y)^n == (x^n)(y^n), x > 0 && y > 0]
FullSimplify[(x y)^n == (x^n)(y^n), n \[Element] Integers]
> Are there cases where this is not true?
Sure!
In[1]:= FullSimplify[(x y)^n == (x^n)(y^n) //. {n -> 3/2, x -> -1, y ->
I}]
Out[1]:= False
Mathematica doesn't exclude rational powers or complex numbers.
This question keeps coming up, I think this group needs an FAQ...
- References:
- FullSimplify doesn't simplify
- From: "Ken Morgan" <kmorga51@calvin.edu>
- FullSimplify doesn't simplify