What is ((sqrt(2))/2+(sqrt(2))/2 i)^6 ?

The solution to ((sqrt(2))/2+(sqrt(2))/2 i)^6 is -i

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simplify ((sqrt(2))/2+(sqrt(2))/2 i)^6

simplify

(\frac{2}{2} + \frac{2}{2} i)^{6}

- i

Solution steps

(\frac{2}{2} + \frac{2}{2} i)^{6}

Simplify

\frac{2}{2} + \frac{2}{2} i : \frac{1}{2} + \frac{1}{2} i

= (\frac{1}{2} + \frac{1}{2} i)^{6}

Expand

(\frac{1}{2} + \frac{1}{2} i)^{6} : - i

= - i

[(- 2)^{- 2}]^{3} \cdot (- 2)^{3} \cdot (- 2)^{4}

x \cdot x^{5}

x \cdot x^{n}

A ((B + A) + (B A))

6084

What is ((sqrt(2))/2+(sqrt(2))/2 i)^6 ?
The solution to ((sqrt(2))/2+(sqrt(2))/2 i)^6 is -i