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MathGroup Archive 2002

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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...



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