Question

Write in standard form: $(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}i)^{4}$

Answer 1

Answer:

-1

Step-by-step explanation:

$=(\frac{1}{\sqrt{2}}(1+i))^4\\=\frac{1}{4}(1+i)^2(i+i)^2\\=\frac{1}{4}(2i)(2i)\\=i^2\\=-1$