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What does i^16 equal and how do you get the answer​

User Ananke
by
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1 Answer

2 votes

Answer:

i^16 = 1

Explanation:

i = √-1 = i

i^2 = i * i = (√-1)^2 = -1

i^3 = i^2 * i^1 = -1 * √-1 = -√-1 or -i

i^4 = i^2 * i^2 = -1 * -1 = 1

the order keeps following......

i^16 = 1

since i^16 is same thing as i^4 * i^4

and we know i^4 = 1 so 1*1=1

User Harish Raj
by
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