How do you simplify $i^19$ ?

Question

27851 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-10T01:33:13

$i^19=i^3=-i$

There are only four solutions when i is raised to a positive integer:

$i^1=i$
$i^2=-1$
$i^3=-i$
$i^4=1$

Find the equivalent exponent by dividing the exponent by 4 , then the remainder will be the equivalent exponent.

$19/4= 4$ with a remainder of 3

Answer: $i^3=-i$

hope that helped

How do you simplify i^19i^19?