SOLUTION: Hi please can someone help and break this down, im really struggling. By Expressing (1+j) in polar form and using De Mioivres Theorem, show that (1+j)^24= 2^12 Obtain (1-j)^24.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Hi please can someone help and break this down, im really struggling. By Expressing (1+j) in polar form and using De Mioivres Theorem, show that (1+j)^24= 2^12 Obtain (1-j)^24.       Log On


   

Question 407765: Hi please can someone help and break this down, im really struggling.
By Expressing (1+j) in polar form and using De Mioivres Theorem, show that (1+j)^24= 2^12 Obtain (1-j)^24.
Thank You
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
, using de Moivre's Theorem.
Hence
%281%2Bj%29%5E24+=+2%5E12+%281+%2B+j%2A0%29+=+2%5E12.
Now,
==> 2%5E24+=+2%5E12%281-j%29%5E24
==> 2%5E12+=+%281-j%29%5E24