SOLUTION: The power of i. solve for i^25
Algebra
->
College
->
Linear Algebra
-> SOLUTION: The power of i. solve for i^25
Log On
Algebra: Linear Algebra (NOT Linear Equations)
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Linear Algebra
Question 263605
:
The power of i.
solve for i^25
Answer by
drk(1908)
(
Show Source
):
You can
put this solution on YOUR website!
The imaginary powers are circular:
i^1= sqrt(-1)
i^2 = -1
i^3 = -i
i^4 = 1
i^5 = i
so,
when you are given a power divide it by 4 and look at the remainder
25/4 = 6 r1
the r1 means that we have
i^1 = i