On Tue, 23 May 2023 at 06:51, Paul Royik <distantjob...@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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