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Question
Answer the following:
Evaluate: (1 − i + i2)−15
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Solution
(1 − i + i2)−15 = (1 − i − 1)−15
= (− i)−15
= `1/(-"i")^15`
= `(-1)/(("i"^4)^3*"i"^3)`
= `(-1)/((1)^3(-"i"))`
= `1/"i"`
= `"i"/"i"^2`
= `"i"/(-1)`
= − i
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