Evaluate
\frac{5}{8}i=0.625i
Real Part
0
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\frac{15i+0\times 1}{4!}
Multiply 5 and 3i to get 15i.
\frac{15i+0}{4!}
Multiply 0 and 1 to get 0.
\frac{15i}{4!}
Anything plus zero gives itself.
\frac{15i}{24}
The factorial of 4 is 24.
\frac{5}{8}i
Divide 15i by 24 to get \frac{5}{8}i.
Re(\frac{15i+0\times 1}{4!})
Multiply 5 and 3i to get 15i.
Re(\frac{15i+0}{4!})
Multiply 0 and 1 to get 0.
Re(\frac{15i}{4!})
Anything plus zero gives itself.
Re(\frac{15i}{24})
The factorial of 4 is 24.
Re(\frac{5}{8}i)
Divide 15i by 24 to get \frac{5}{8}i.
0
The real part of \frac{5}{8}i is 0.
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