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MathGroup Archive 2001

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Re: Simplify

  • To: mathgroup at
  • Subject: [mg32029] Re: [mg32007] Simplify
  • From: BobHanlon at
  • Date: Wed, 19 Dec 2001 04:29:10 -0500 (EST)
  • Sender: owner-wri-mathgroup at

In a message dated 12/18/01 2:59:34 AM, Matthias.Bode at writes:

>why should I not expect MATHEMATICA to (Full)Simplify
>(a^b)^(1/b) or a^b^(1/b) to a?



0.7368942582104423 + 0.19231966154421648*I

(a^b)^(1/b) // PowerExpand


(a^(1/b))^b // PowerExpand


PowerExpand are correct in general only if c is an integer or a and b are 
positive real numbers."

Simplify[(a^(1/b))^b, Element[{a,b}, Reals]&&a>0&&b>0]


Simplify[(a^b)^(1/b), Element[{a,b}, Reals]&&a>0&&b>0]


Simplify[(a^(1/b))^b, Element[b, Integers]]


Bob Hanlon
Chantilly, VA  USA

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