Question

how do I simplify (3+5i)^4?

Answer 1

just expand , you could get it into mod arg form and use demoivres theorm but that wont give exact answer

Answer 2

ie do (3+5i)^2 (3+5i)^2 and expand, or use binomial theorm/pascals triangle expansion coeffiecents

Answer 3

(3+5i)^2 (3+5i)^2 = -16+30i

Answer 4

I got that answer...does that mean I do it twice?

Answer 5

My guess is to expand taking (3+5i)(3+5i)=-16+30i then take
(-16+30i)(-16+30) = -644-960i

Answer 6

okay...that is what I was starting to do.

Answer 7

Did you come up with the same results? I must admit the outcome does not look any simpler!!