How do you simplify 3i^2 - 4i^4 + 5i^8 + 3? Precalculus Complex Numbers in Trigonometric Form Powers of Complex Numbers 1 Answer José F. Mar 28, 2018 7 Explanation: since that i^(2n) is equal to 1, so 3i^2-4i^4+5i^8+3 is equal to 3-4+5+3 7 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 1817 views around the world You can reuse this answer Creative Commons License