Back to The Complex Number System — Problem 1 · Task Set 28

HSN.CN Tutor Intake — Complex Numbers

This short check helps your tutor understand where to start with complex numbers. Answer each question on your own without notes or a calculator. If you are unsure, give your best try — the goal is to find what to work on together, not to grade you.

Grade 10·12 problems·~14 min·Common Core Math - HS Number and Quantity·domain·cn

Work through problems with immediate feedback

Procedures

Using the pattern $i^1 = i$ , $i^2 = -1$ , $i^3 = -i$ , $i^4 = 1$
(cycle of length 4), what is $i^{23}$ ?

$1$

$i$

$-1$

$-i$