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MathGroup Archive 2002

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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


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