Question

12) What is the pattern used for evaluating higher powers of i?

Answer 1

i^0 = 1

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

This pattern repeats itself over and over again. If it is a large exponent, divide the exponent by 4. Then, apply that remainder to the rule explained above

EXAMPLE: i^207

207/4 = 51 remainder 3.

i^3 is -i,

so i^207 = -i

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