Question

Write in standard form: %7D%7B2%7Di%29%5E%7B4%7D" id="TexFormula1" title="(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}i)^{4}" alt="(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}i)^{4}" align="absmiddle" class="latex-formula">

Answer 1

Answer:

-1

Step-by-step explanation:

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