Question

How do you simplify `(2i)/(3-4i)`?

Answer 1

Multiply by the complex conjugate of the denominator
to get `(-8+6i)/25`

Explanation:

`(2i)/(3-4i)`
`color(white)("XXX")=(2i)/(3-4i)xx(3+4i)/(3+4i)`

`color(white)("XXX")=(6i-8)/(9+16)`

`color(white)("XXX")=(-8+6i)/25`