s165151 s165151

24-04-2018
Mathematics

contestada

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

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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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