trace iⁱ · e^(iπ) · (1+i)⁴ through the complex plane step by step · runs locally
1start: i→ 0.00000 + 1.00000i
2i = e^(iπ/2)→ 0.00000 + 1.57080i
3i^i = e^(i·iπ/2) = e^(-π/2)→ 0.20788 + 0.00000i
i^i = e^(iπ/2)^i = e^(-π/2)· a purely imaginary number raised to itself is real: ≈ 0.207880