Question

why is this true?
\[\frac{2}{8i}=-\frac i 4\]

Answer 1

first off you can reduce, just like with real numbers
then multiply top and bottom by \(i\)

Answer 2

because i*i=-1

Answer 3

or 1/i=-i

Answer 4

Is our goal to get the imaginary number out of the denominator?

Answer 5

\[\frac{2}{8i}=\frac{1}{4i}=\frac{1}{4i}\times \frac{i}{i}=\frac{i}{4i^2}=-\frac{i}{4}\]

Answer 6

What is wrong if I say 1/i=i

Answer 7

it is \(\frac{1}{i}=-i\)