How do you simplify (−i)3? Precalculus Complex Numbers in Trigonometric Form Powers of Complex Numbers 2 Answers Annie Nov 12, 2016 i Explanation: (−i)3 =(−i) x (−i) x (−i) But (−i) x (−i) =+i2 = -1 So (−i)3 =(−i) x (−i) x (−i)= −i x -1= i Answer link seol · Stefan V. Nov 12, 2016 i Explanation: i is √−1. Therefore, i2 would be −1... −i3=−i×(−i)×(−i)=−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 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 11488 views around the world You can reuse this answer Creative Commons License