Question

Which of the following is equivalent to the

Answer 1

Step-by-step explanation:

$= {i}^{31}$

$= {i}^{28} \times {i}^{3}$

$= {( {i}^{4} )}^{7} \times ( {i}^{2} \times i)$

$= ( {i}^{2} \times {i}^{2} ) {}^{7} \times {i}^{2} \times i$

$= ( - 1 \times ( - 1)) {}^{7} \times ( - 1) \times i$

$= {1}^{7} \times ( - i)$

$= 1 \times ( - i)$

$= - i$

The answer is D.