Question

Simplify.

4+2i/-6i

Answer 1

The problem is this?
\[\Large \frac{4+2i}{-6i}\]

Answer 2

Yes

Answer 3

Multiply the fraction by \(\Large \frac{i}{i}\)

\[\Large \frac{4+2i}{-6i}*\frac{i}{i} = ??\]

Answer 4

\(\Large \frac{i}{i}\) is equal to 1. When we multiply any expression by 1, it doesn't change.

Answer 5

wait so do you multiply i/i for every problem?

Answer 6

to turn the denominator into a real number, yes

Answer 7

only if you have something in the form k*i in the denominator
k is any real number

Answer 8

to take advantage of the fact that i*i = i^2 = -1

Answer 9

Wait im still a bit confused whatss the next step after 4+2i/−6i ∗ i/i

Answer 10

\[\Large \frac{4+2i}{-6i}*\frac{i}{i} =\frac{(4+2i)*i}{-6i*i} = ??\]

Answer 11

you'll have to use the distributive property

Answer 12

so its -4-2i / 6 ?

Answer 13

(4+2i)*i = 4i + 2i^2 = 4i+2(-1) = 4i-2

Answer 14

So we have
\[\Large \frac{4i-2}{6}\]

then we can do a bit of factoring
\[\Large \frac{4i-2}{6}=\frac{2(2i-1)}{2*3}\]
I'm sure you see what would cancel

Answer 15

hmm okay, thanks

Answer 16

no problem

Answer 17

How would I do 2/-6i ?

Answer 18

i'm still confused on this..