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Re: Re: can't MATHEMATICA simplify simple expressions?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg51570] Re: [mg51514] Re: can't MATHEMATICA simplify simple expressions?
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Sat, 23 Oct 2004 00:21:57 -0400 (EDT)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <cl4tg0$8g7$1@smc.vnet.net> <200410220220.WAA07117@smc.vnet.net>
  • Reply-to: murray at math.umass.edu
  • Sender: owner-wri-mathgroup at wolfram.com

But one should use PowerExpand with caution!  As the HelpBrowser entry says:

    PowerExpand converts (a b)^c to a^c b^c, whatever the form of c is.
    PowerExpand also converts (a^b)^c to a^(b c), whatever the form of
       c is.
    The transformations made by PowerExpand are correct in general only
       if c is an integer or a and b are positive real numbers.

Jens-Peer Kuska wrote:
> Hi,
> 
> a) because only for real vaules youn get a^3
> b) PowerExpand[(a^2)^(3/2) ] doesn what you want
> 
> Regards
>   Jens
> 
> "Cole Turner" <REMOVEcole.tuner at liwest.at> schrieb im Newsbeitrag 
> news:cl4tg0$8g7$1 at smc.vnet.net...
> 
>>if I enter:
>>
>>FullSimplify [ (a^2)^(3/2) ]
>>
>>(in correct MATHEMATICA syntax, the program does not yield the correct
>>result, a^3 ...
>>
>>why is that?

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305


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