Evaluate the expression $i ^ { 43 }$ and write the result in the form a + bi.
A) $- ( - i )$
B) $- i$
C) 1
D) $- 1$
E) none of these

Name: Evaluate the expression $i ^ { 43 }$ and write the result in the form a + bi. A) $- ( - i )$ B) $- i$ C) 1 D) $- 1$ E) none of these
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Question

Evaluate the expression $i ^ { 43 }$ and write the result in the form a + bi. 
A) $- ( - i )$
B) $- i$
C) 1
D) $- 1$
E) none of these

Quizplus · Accepted Answer

We know that $i^2=-1$. Therefore, $i^4=1$. Continuing in this way, we see that $i^{43}=i^{42}\cdot i=(-1)^{21}\cdot i=-i$. The answer is therefore $\boxed{	extbf{(B)}\ -i}$.

Evaluate the Expression i43i ^ { 43 }i43 And Write the Result in the Form a + Bi

Evaluate the Expression $i ^ { 43 }$ And Write the Result in the Form a + Bi