Simplify the complex number and write it in standard form. $( - i ) ^ { 5 }$
A) 5
B) $i$
C) 1
D) $- 1$
E) $- i$

Question

Quizplus · Accepted Answer

To simplify $(-i)^5$, we can first simplify $(-i)^2$ to get $i^2$, which equals $-1$. Then, we can rewrite $(-i)^5$ as $(-i)^2 \cdot (-i)^2 \cdot (-i)$, which equals $(-1) \cdot (-1) \cdot (-i)$, or $-i$. Therefore, the answer is E, $-i$, and we have written it in standard form as well.

Simplify the Complex Number and Write It in Standard Form (−i)5( - i ) ^ { 5 }(−i)5

Simplify the Complex Number and Write It in Standard Form $( - i ) ^ { 5 }$