Powers of i Calculator
Find iⁿ, which cycles through i, −1, −i and 1.
The powers of the imaginary unit i repeat in a cycle of four.
The math behind it
i⁰ = 1, i¹ = i, i² = −1, i³ = −i, then it repeats. So iⁿ depends only on n mod 4.
Worked example
i²⁷: 27 mod 4 = 3, so i²⁷ = −i.
FAQ
What is i⁰?
i⁰ = 1, like any non-zero number raised to the zero power.