Question

Write in the form in a+bi

Answer 1

`4+6i-6i^2+3i^3-4i^4=6+3i`

Explanation:

Given the expression

`4+6i-6i^2+3i^3-4i^4`

as

`i^2=-1\\`

so

`=4+6i-\left(-6\right)-3i-4i^4`

Group like terms

`=-4i^4+6i-3i+4+6`

Add similar items

`=-4i^4+3i+4+6`

Add the numbers

`=-4i^4+3i+10`

`=6+3i`

Thus,

`4+6i-6i^2+3i^3-4i^4=6+3i`