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

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

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

Quizplus · Accepted Answer

We know that $i^4 = 1$ (as $i^2 = −1$). Therefore $i ^ { 43 } = i^{40} \cdot i^3 = (i^4)^{10} \cdot i^3 = i^3 = −i$. Hence the answer is D.

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