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\frac{2i}{8i^{2}}
Multiply both numerator and denominator by imaginary unit i.
\frac{2i}{-8}
By definition, i^{2} is -1. Calculate the denominator.
-\frac{1}{4}i
Divide 2i by -8 to get -\frac{1}{4}i.
Re(\frac{2i}{8i^{2}})
Multiply both numerator and denominator of \frac{2}{8i} by imaginary unit i.
Re(\frac{2i}{-8})
By definition, i^{2} is -1. Calculate the denominator.
Re(-\frac{1}{4}i)
Divide 2i by -8 to get -\frac{1}{4}i.
0
The real part of -\frac{1}{4}i is 0.