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\frac{10i}{9i^{2}}
Multiply both numerator and denominator by imaginary unit i.
\frac{10i}{-9}
By definition, i^{2} is -1. Calculate the denominator.
-\frac{10}{9}i
Divide 10i by -9 to get -\frac{10}{9}i.
Re(\frac{10i}{9i^{2}})
Multiply both numerator and denominator of \frac{10}{9i} by imaginary unit i.
Re(\frac{10i}{-9})
By definition, i^{2} is -1. Calculate the denominator.
Re(-\frac{10}{9}i)
Divide 10i by -9 to get -\frac{10}{9}i.
0
The real part of -\frac{10}{9}i is 0.