How do you simplify i^35? Precalculus Complex Numbers in Trigonometric Form Powers of Complex Numbers 1 Answer Alan P. Nov 16, 2015 i^35 = -i Explanation: i^2=-1 i^4 = (i^2)^2 = (-1)^2 = +1 i^35 = i^32*i^2*i = (i^4)^8*i^2*i =1^8*(-1)*i =-i 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 45463 views around the world You can reuse this answer Creative Commons License