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Which of the following is equivalent to the complex number i^8?
A. 1
B. i
C. -1
D. -i

Which of the following is equivalent to the complex number i8 A 1 B i C 1 D i class=

Respuesta :

micaelawest3432

Answer:

I think the answer is -1

Step-by-step explanation:

the sequence goes i, -i, 1, -1

Right? >_>

jacobEwing

Answer:

The correct answer is B.  i⁸ = 1

Step-by-step explanation:

You can work this out by noting that 2 is a factor of 8, and 8 is a multiple of 2.  With that we can say:

[tex]i^8\\= (i^2)^4\\= -1^4\\= 1[/tex]

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