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Re: simple Simplify[] question


Hi,

a) Why, look at the two plots :

Plot3D[Re[((x + I*y)^2)^(3/2)], {x, -1, 1}, {y, -1, 1}]

Plot3D[Re[(x + I*y)^3], {x, -1, 1}, {y, -1, 1}]

than you see why.

b) PowerExpand[] will give a^3 as well as
   Simplify[(a^2)^(3/2), Element[a, Reals] && a > 0 ]

Hope that helps
  Jens

Ulf Saalmann wrote:
> 
>  Hello,
> 
>  why gives Mathematica
>                                      2 3/2
>       Simplify[(a^2)^(3/2)]        (a )
> 
>  and not
>                                       3
>                                     a
> 
>  and how to convince Mathematica to do it?
> 
>  Thanks
>          Ulf  (us at atom.msi.se)


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