Thank you!

On Tuesday, May 23, 2023 at 4:21:29 PM UTC+3 Oscar wrote:

> On Tue, 23 May 2023 at 06:51, Paul Royik <distan...@gmail.com> wrote:
> >
> > How do I simplify the following expressions: i**(-2*i), (-i)**(-2*i), 
> ((-sqrt(3) - i)/2)**(-2*i), ((sqrt(3) - i)/2)**(-2*i) ?
> >
> > Is there any built-in function?
> >
> > For example, i**(-2*i) should give e^pi and ((sqrt(3) - i)/2)**(-2*i) 
> should give e^(-pi/3).
>
> The word "simplify" is ambiguous but I assume from your examples that
> what you want is to rewrite powers as exponentials if possible. If so
> that can be done with e.rewrite(exp):
>
> >>> from sympy import *
> >>> i = I
> >>> a = i**(-2*i), (-i)**(-2*i), ((-sqrt(3) - i)/2)**(-2*i), ((sqrt(3) - 
> i)/2)**(-2*i)
> >>> [ai.rewrite(exp) for ai in a]
> [exp(pi), exp(-pi), exp(-5*pi/3), exp(-pi/3)]
>
> --
> Oscar
>

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