|Wouldn't e have to be pure also?
You're correct - the inexactness of "e" is also influencing the result.
BTW, in perl we can reproduce you're original result with:
>perl -MMath::Complex -le "print exp(1) ** (pi * i);"
Oops ... hang on ... that's not
exactly the same. (I'm not all that familiar with Raku, so I'm not sure what accounts for that difference.)
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