Question 43 Answer and Explanation _ACT December 2016 Form 74H Math Section

Question 43 Answer and Explanation _ACT December 2016 Form 74H Math Section

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43. Given that ${i}^{2}=-1$ and that k is a positive integer, what is the value of ${i}^{(4k+2)}$ ?

A. $-i$

B. -1

C. 0

D. 1

E. $i$

Answer and Explanation

Your Answer is

Correct Answer is B

Explanation

Because i⁴=1, so i^4k+2=i²=-1