Question

I am trying to do my homework but i lost my notes, how do i write an expression in a+bi
ex1: [2(cos50˚+i sin50˚)]^3

ex2: (2-2i)^8

and once i have done that how do i find IIvII

Answer 1

assuming you meant: a+bi

this can be modeled as the point (a,b) to determine how to put it into polar form

Answer 2

|v| is just the mod, or distance that (a,b) is from (0,0)

Answer 3

mod(a+bi) = sqrt(a^2+b^2)

arg(a+bi) = arctan(b/a)

Answer 4

"this can be modeled as the point (a,b) to determine how to put it into polar form"
how do i do this, I'm still confused :(

Answer 5

if i give you a point (3,2) how would you put this onto a graph?

Answer 6

the complex number: 3 + 2i can be modeled as the point (3,2)

Answer 7

the distance of the "point" from the "origin" gives you |v|