s165151 s165151
  • 24-04-2018
  • Mathematics
contestada

The imaginary number i raised to the power of 38 simplifies to -1 1 i -i

Respuesta :

geerky42
geerky42 geerky42
  • 24-04-2018
38 = 9·4+2

So i³⁸ = i⁴ˣ⁹ ⁺ ² = i⁴ˣ⁹ · i² = (i⁴)⁹ · i² = 1⁹ · i² = i² = -1

Final answer: -1

Hope this helps.
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Аноним Аноним
  • 23-09-2020

Answer:

-1

Step-by-step explanation:

Answer Link

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