How do you simplify #i^19#?

1 Answer
Nov 10, 2015

#i^19=i^3=-i#

Explanation:

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