Question

What is i^84? a) -i b) i c) -1 d) 1

Answer 1

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

$i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1$

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!