What is i^4? Precalculus Complex Numbers in Trigonometric Form Powers of Complex Numbers 1 Answer Harish Chandra Rajpoot Jul 2, 2018 i^4=1 Explanation: We know that i=\sqrt{-1}\ or \ i^2=-1 \therefore i^4=(i^2)^2=(-1)^2=1 Answer link Related questions How do I use DeMoivre's theorem to find (1+i)^5? How do I use DeMoivre's theorem to find (1-i)^10? How do I use DeMoivre's theorem to find (2+2i)^6? What is i^2? What is i^3? How do I find the value of a given power of i? How do I find the nth power of a complex number? How do I find the negative power of a complex number? Write the complex number i^17 in standard form? How do you simplify i^-33? See all questions in Powers of Complex Numbers Impact of this question 17433 views around the world You can reuse this answer Creative Commons License