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