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Question
Answer the following:
Simplify: `("i"^65 + 1/"i"^145)`
Solution
`("i"^65 + 1/"i"^145)`
= `|("i"^4)^16*"i" + 1/(("i"^4)^36*"i")|`
= `"i" + 1/"i"`
= `("i"^2 + 1)/"i"`
= `(-1 + 1)/"i"`
= 0
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