Question

Which of the following is equivalent to the complex number i^801i-1-i

Answer 1

To answer this question, we need to remember the power of i

`\begin{gathered} i^1=i \\ i^2=-1 \\ i^3=-i \\ i^4=1 \end{gathered}`

The expression i^80 can be re written as (i^4)^20

`(i^4)^(20)=(1)^(20)=1`

It means, the number i^80 is equivalent to 1.