       Re: Simplifying algebraic expressions

• To: mathgroup at smc.vnet.net
• Subject: [mg66929] Re: Simplifying algebraic expressions
• From: "Dana DeLouis" <ddelouis at bellsouth.net>
• Date: Sun, 4 Jun 2006 01:10:20 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

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

Hi.  Here's one idea:

equ = (-1)^(2*x + 3*y);

To get a feel for the equation:

Reduce[2*x + 3*y == y, {x, y}]

y == -x

Therefore:
Assuming[y == -x, Simplify[equ]]

(-1)^y

Looks like x & y can be complex as well.  Here, 'x is complex...

x = 3 + 4*I;
And 'y is therefore...
y = -x
-3 - 4*I

equ
(-1)^(-3 - 4*I)

Which is the same as:
(-1)^y
(-1)^(-3 - 4*I)

--
HTH.  :>)

Dana DeLouis
Mathematica 5.2

"Amitabha Roy" <aroy at cs.bc.edu> wrote in message
news:e5mhis\$kg3\$1 at smc.vnet.net...
> Hello:
>
> 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 ?
>
> Thanks
>

```

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