55.7k views
12 votes
Which of the following is equivalent to the complex number i^5

Choose 1 answer:
1
i
-1
-i

1 Answer

11 votes

Answer:

i

Explanation:

i =
√(-1) ⇒ i² = (
√(-1) )² = - 1 , then


i^(5)

= i² × i² × i

= - 1 × - 1 ×i

= 1 × i

= i

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