       RE: FullSimplify doesn't simplify

• To: mathgroup at smc.vnet.net
• Subject: [mg32772] RE: [mg32762] FullSimplify doesn't simplify
• From: "Florian Jaccard" <jaccardf at eicn.ch>
• Date: Sat, 9 Feb 2002 05:11:43 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

```Hello Ken !

Yes, there are cases !

For exemple,  (-1)^(1/2)*(-1)^(1/2)=-1
but ((-1)(-1))^(1/2)=1

It is not a Mathematica problem, but Mathematics !

Remember : (a*b)^n=(a^n)*(b^n)  is always true only if a and b are real
positive numbers.

Indeed, Mathematica knows it :

In:= Simplify[(a*b)^n==a^n*b^n,{a>0,b>0}]

Out= True

Greetings

Florian Jaccard
EICN-HES
e-mail : jaccardf at eicn.ch

-----Message d'origine-----
De : Ken Morgan [mailto:kmorga51 at calvin.edu]
Envoyé : ven., 8. février 2002 09:50
À : mathgroup at smc.vnet.net
Objet : [mg32762] FullSimplify doesn't simplify

Does anyone know why Mathematica doesn't simplify the following to True?

In := FullSimplify[(x y)^n == (x^n)(y^n)]

Out := (x y)^n == (x^n)(y^n)

Are there cases where this is not true?

Thanks,
Ken Morgan
kmorga51 at calvin.edu

```

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