Question

How do you simplify `1/i^3`?

Answer 1

`i`

Explanation:

The first step is to evaluate `i^3`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(i^2=(sqrt(-1))^2=-1)color(white)(a/a)|)))`

`rArri^3=i^2.i=-i`

Thus `1/i^3=1/(-i)`

multiply numerator/denominator by i.

`rArr1/(-i)xxi/i=i/(-i^2)=i`