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Re: simplify expr to = 1

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37945] Re: [mg37927] simplify expr to = 1
  • From: Sseziwa Mukasa <mukasa at jeol.com>
  • Date: Thu, 21 Nov 2002 00:38:12 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

On Tuesday, November 19, 2002, at 08:59 PM, Blimbaum Jerry DLPC wrote:

> Why duzz Mathematica not simplify    (f[x]/g[x])^r * (g[x]/f[x])^r   to
> equal 1  for r specified as belonging to Reals?   For r specified as
> Integer, however,  it  duzz reduce to 1....
>
>

Because there are multiple solutions to z^r in the complex plane when r 
is real for example (-1)^(1/3)==Exp[(2 n+1) I Pi/3] for all integers n. 
  To get the simplification you desire you'd have to specify 
1/g[x]^r==g[x]^(-r) but placing that in the assumptions for Simplify or 
FullSimplify doesn't seem to make a difference.

Regards,

Ssezi



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