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How do i raise a power of a complex number?
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Raising a complex number to a power is done in the same way that we raise a power of an expression in normal algebra, but in keep in mind to be wary of the powers of $i$

\begin{array}{l}
z_{1}^{2}=(x+y i)^{2}=x^{2}+y^{2} i^{2}+2 x y i \\
=x^{2}-y^{2}+2 x y i
\end{array}
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