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MathGroup Archive 2006

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Re: Simplifying algebraic expressions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg66877] Re: Simplifying algebraic expressions
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Fri, 2 Jun 2006 04:09:04 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On 6/1/06 at 6:54 AM, aroy at cs.bc.edu (Amitabha Roy) wrote:

>I would like Mathematica to be able to take an expression, say,

>(-1)^{2 x  + 3 y} and be able to simplify to (-1)^y.

>Is there a way one can do this ?

I wonder if you really meant

(-1)^{2 x + 3 y}

instead of

(-1)^(2 x + 3 y)

in any case, the only way to simplify the 2 x + 3 y part to y would be to define x as -y. That is

(-1)^(2 x + 3 y)/.x->-y

will return (-1)^y

Or perhaps you wanted Mathematica to return (-1)^z where z is defined to be 2 x + 3 y? If so

(-1)^(2 x + 3 y) /. (-1)^(n_) :> (-1)^z

will return (-1)^z
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