Answer:
[tex]4+6i-6i^2+3i^3-4i^4=6+3i[/tex]
Step-by-step explanation:
Given the expression
[tex]4+6i-6i^2+3i^3-4i^4[/tex]
as
[tex]i^2=-1\\[/tex]
so
[tex]=4+6i-\left(-6\right)-3i-4i^4[/tex]
Group like terms
[tex]=-4i^4+6i-3i+4+6[/tex]
Add similar items
[tex]=-4i^4+3i+4+6[/tex]
Add the numbers
[tex]=-4i^4+3i+10[/tex]
[tex]=6+3i[/tex]
Thus,
[tex]4+6i-6i^2+3i^3-4i^4=6+3i[/tex]
