SOLUTION: Hi! I have no clue as to how to solve, {{{i^-17}}}. Could you please help me?
Algebra
->
Complex Numbers Imaginary Numbers Solvers and Lesson
-> SOLUTION: Hi! I have no clue as to how to solve, {{{i^-17}}}. Could you please help me?
Log On
Algebra: Complex Numbers
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Complex Numbers
Question 96726
:
Hi! I have no clue as to how to solve,
. Could you please help me?
Answer by
scott8148(6628)
(
Show Source
):
You can
put this solution on YOUR website!
i is the square root of -1, so i^2=-1 and (i^2)^2=1 or i^4=1
this means that you can divide the exponent of i by 4 and the remainder will be, in effect, the exponent
dividing -17 by 4 leaves a remainder of -1, so i^(-17)=i^(-1) or 1/i