simplify, in cartesian and polar forms:

(sqrt(3)-3i)^10

(sqrt(3)-3i)^ -1

(sqrt(3)-3i)^ 1/3

can someone please explain how i would go about doing this?

Printable View

- September 10th 2007, 05:36 PMmistykzcomplex number exponentials
simplify, in cartesian and polar forms:

(sqrt(3)-3i)^10

(sqrt(3)-3i)^ -1

(sqrt(3)-3i)^ 1/3

can someone please explain how i would go about doing this? - September 10th 2007, 06:13 PMPlato
You must learn to find the arguments of complex numbers!

.

Now all the three questions depend upon two facts: and - September 10th 2007, 06:40 PMmistykz
okay, so now what?

- September 10th 2007, 06:59 PMJhevon
we can express the complex number as , where and

in this form, it is easy to apply the powers and simplify

you can see the "Background" section in the first post here for more information.