How do you simplify i^76? Precalculus Complex Numbers in Trigonometric Form Powers of Complex Numbers 1 Answer Shwetank Mauria May 7, 2016 i^76=1 Explanation: i^76=i^(4xx19) As a^(mxxn)=(a^m)^n i^76=i^(4xx19)=(i^4)^19 But i^4=1 Hence i^76=1^19=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 3861 views around the world You can reuse this answer Creative Commons License