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

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

User Emyl
by
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2 Answers

2 votes

Answer:

-1

Explanation:

User Maninak
by
8.4k points
3 votes
38 = 9·4+2

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

Final answer: -1

Hope this helps.
User Krul
by
8.4k points
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