SOLUTION: a. i^102 b. i^-15

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Question 129967This question is from textbook A Graphical Approach to College Algebra
: a. i^102
b. i^-15 This question is from textbook A Graphical Approach to College Algebra

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
i^1=i
i^2=-1
i^3=-i
i^4=1
.
a. i^102
102/4=25 2/4
Since the remainder is 2 the answer is 2nd on the list above: -1.
.
i^-15
=1/i^15
15/4=3 3/4
Since the remainder is 3 the answer is 3rd on the list above: 1/-i
.
Ed