       Re: can't MATHEMATICA simplify simple expressions?

• To: mathgroup at smc.vnet.net
• Subject: [mg51520] Re: [mg51505] can't MATHEMATICA simplify simple expressions?
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Thu, 21 Oct 2004 22:20:27 -0400 (EDT)
• Reply-to: hanlonr at cox.net
• Sender: owner-wri-mathgroup at wolfram.com

```Because

((-2)^2)^(3/2) == (-2)^3

False

Reduce[(a^2)^(3/2) == a^3,  a, Reals]

a >= 0

Consequently, if you restrict a to being non-negative:

Simplify[(a^2)^(3/2), a>=0]

a^3

(a^2)^(3/2) // PowerExpand

a^3

Bob Hanlon

>
> From: Cole Turner <REMOVEcole.tuner at liwest.at>
To: mathgroup at smc.vnet.net
> Date: 2004/10/20 Wed AM 01:21:32 EDT
> To: mathgroup at smc.vnet.net
> Subject: [mg51520] [mg51505] can't MATHEMATICA simplify simple expressions?
>
> if I enter:
>
> FullSimplify [ (a^2)^(3/2) ]
>
> (in correct MATHEMATICA syntax, the program does not yield the correct
> result, a^3 ...
>
> why is that?
>
> thanks!
> --
> Johnny: [plugging back in the runway lights]
>           "Just kidding."
>                    ('Airplane!', 1980)
>
>

Bob Hanlon
Chantilly, VA

```

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