Question 1007228
.
Use de Moivre's Theorem to find the following. Write your answer in standard form.
(1 + i)^8
-----------------------------------------------------------------


1 + i = {{{sqrt(2)}}}.(cos(45°) + i*sin(45°)).


According to de Moivre's Theorem, 


{{{(1 + i)^8}}} = {{{(sqrt(2))^8}}}.(cos(8*45°) + i*sin(8*45°)) = {{{2^4}}}.(cos(360°) + i*sin(360°)) = 16.