How do you simplify 5i4+3i2+4i7−4? Precalculus Complex Numbers in Trigonometric Form Powers of Complex Numbers 1 Answer Trevor Ryan. Nov 17, 2015 −2−4i Explanation: We may use the fact that i2=−1 to write the following 5i4+3i2+4i7−4=5(i2⋅i2)+3i2+4(i2⋅i2⋅i2⋅i)−4 =5−3−4i−4 =−2−4i 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 i2? What is i3? What is i4? 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 i17 in standard form? See all questions in Powers of Complex Numbers Impact of this question 1531 views around the world You can reuse this answer Creative Commons License