Respuesta :

ruppy123
-1
i=i
i^2=-1
i^3=-i
i^4=1
the patterns goes on. so, u would end at i^2 if u were going up by 1s and hit 22
adioabiola

The simplification of i²² is equal to; -1

According to the question;

We are required to determine the value of i²².

By complex numbers;

  • i = √-1

  • i² = -1

  • i³ = -1 × √-1 = -1 × i = -i

  • i⁴ = i² × i² = -1 × -1 = 1

Therefore, Since;

  • i²² = i⁴ × i⁴ × i⁴ × i⁴ × i⁴× i²

  • i²² = 1 × 1 × 1 × 1 × 1 × (-1)

i²² = -1.

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