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

because i*i=-1

or 1/i=-i

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

|dw:1358398893659:dw|

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

What is wrong if I say 1/i=i

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

ya I got how u got 1/i=-i
But |dw:1358399037098:dw| this doesn't work

no it does not

1 and -1 are real

even this doesn't work
\[\sqrt{a}\sqrt{b}=\sqrt{ab}\] unless \(a\) and \(b\) are positive numbers

excuse me i said 'real' and i meant 'positive' my mistake

oh I got it...

oh ok

make sense

so i*i=-1?

I'm too tired...I'll look at it again tomorrow. Thanks guys