Question

Select the correct answer..What is the value of i^ if the remainder of 4 is 2?OA. -i'OB.-1Ос. іOD. 1ResetNext

Answer 1

1) Considering that for that complex number we have the following pattern:

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

2) And that, the question asks us about the what number must be that exponent so that the remainder is 2, we can write out:

`(n)/(4)=4d+2`

which d is the divisor, so if the remainder is 2 then we can state:

`i^n=i^2=-1`