Question

For exercise 27, write the complex number in standard form:

Answer 1

\[(\frac{ \sqrt{2} }{ 2 }+\frac{ \sqrt{2} }{ 2 }i)^{4}\]

Answer 2

convert to trig form first then raise to the 4th power then convert back to std. form

Answer 3

if z = sqrt(2)/2 + i sqrt(2)/2 then z^4 = -1