Which of the following is equivalent to the complex number i^16?
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Answer:
A
Step-by-step explanation
i = [tex]\sqrt{-1}[/tex]
i² = ([tex]\sqrt{-1}[/tex] )² = - 1
i³ = i² × i = - 1 × i = - i
[tex]i^{4}[/tex] = i² × i² = - 1 × - 1 = 1 , then
[tex]i^{16}[/tex]
= [tex](i^4)^{4}[/tex]
= [tex](1)^{4}[/tex]
= 1