jakeob28 jakeob28

19-09-2019
Mathematics

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Write in standard form: [tex](\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}i)^{4}[/tex]

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Chenk13 Chenk13

19-09-2019

Answer:

-1

Step-by-step explanation:

[tex]=(\frac{1}{\sqrt{2}}(1+i))^4\\=\frac{1}{4}(1+i)^2(i+i)^2\\=\frac{1}{4}(2i)(2i)\\=i^2\\=-1[/tex]

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