Start learning →

What is i^35?

A1
B-i
C-1
Di
Answer & Solution
Correct answer: B. -i
i⁴ = 1. So i³⁵ = i^(4×8 + 3) = (i⁴)⁸ · i³ = 1 · (-i) = -i. (Powers of i cycle: i, -1, -i, 1.)
Practise this question with Quill — AP Intermediate 1st Year →

Keep practising Complex Numbers and Quadratic Equations

Browse all Complex Numbers and Quadratic Equations questions for AP Intermediate 1st Year, or explore more Mathematics topics.

Start a Complex Numbers and Quadratic Equations lesson →
Related questions
Identify the standard form of (-i)(2i)(-i/8)³.If x + iy = (a + ib)/(a - ib), then x² + y² equals:Compute (5 - 3i)³.Find the value of i^(-39).Express (5 + √2 i)/(1 - √2 i) in the form a + ib.The multiplicative inverse of z = 2 - 3i is:The modulus |3 + i| equals:Compute (3 + 5i)(2 + 6i).