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What does i to the 413 power equal?

Updated: 4/28/2022
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Wiki User

6y ago

Best Answer

Consider:

i¹ = i

i² = -1

i³ = -i

i⁴ = 1

i⁵ = i

...

The cycle of {i, -1, -i, 1} repeats with a period of 4

413 mod 4 = 1, so i⁴¹³ = i

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Wiki User

6y ago
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Q: What does i to the 413 power equal?
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