How do you simplify i^36? Precalculus Complex Numbers in Trigonometric Form Powers of Complex Numbers 1 Answer Alan P. Nov 20, 2015 i^36=1 Explanation: i^2=-1 i^4 = (i^2)^2 = (-1)^2 = 1 i^36 = (i^4)^9 = 1^9 = 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? What is i^4? 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? See all questions in Powers of Complex Numbers Impact of this question 12640 views around the world You can reuse this answer Creative Commons License