Re: Re: Simplifying algebraic expressions

*To*: mathgroup at smc.vnet.net*Subject*: [mg66903] Re: [mg66877] Re: Simplifying algebraic expressions*From*: Murray Eisenberg <murray at math.umass.edu>*Date*: Sat, 3 Jun 2006 03:25:35 -0400 (EDT)*Organization*: Mathematics & Statistics, Univ. of Mass./Amherst*References*: <200606020809.EAA18060@smc.vnet.net>*Reply-to*: murray at math.umass.edu*Sender*: owner-wri-mathgroup at wolfram.com

I think the original poster's intention was to ask how to make Mathematica make the following simplifications: (-1)^(2 x + 3 y) ((-1)^(2x)) * ((-1)^(3y)) (((-1)^2)^x) * ((-1)^(3y)) (1^x) * (-1)^(3y) 1 * (-1)^(3y) (-1)^(3y) Of course this is valid only in special circumstances, even when x and y are real and positive. Bill Rowe wrote: > 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 > -- > To reply via email subtract one hundred and four > > -- 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

**References**:**Re: Simplifying algebraic expressions***From:*Bill Rowe <readnewsciv@earthlink.net>