how do you calculate the power of i?

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Onna11 Onna11

08-10-2016
Mathematics

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how do you calculate the power of i?

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JoshEast JoshEast · Answer 1 · 2016-10-09T04:00:46+02:00

So i = [tex] \sqrt{-1}[/tex]
that would mean that i² = √i x √i
= i
i² = - 1

i³ = i x i²
= i x (- 1)
i³ = - i


i⁴ = (i²)²
= (-1)²
∴ i⁴ = 1