Evaluate
64i
Real Part
0
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32i-\left(1-i\right)^{10}
Calculate 1+i to the power of 10 and get 32i.
32i-\left(-32i\right)
Calculate 1-i to the power of 10 and get -32i.
32i+32i
The opposite of -32i is 32i.
64i
Add 32i and 32i to get 64i.
Re(32i-\left(1-i\right)^{10})
Calculate 1+i to the power of 10 and get 32i.
Re(32i-\left(-32i\right))
Calculate 1-i to the power of 10 and get -32i.
Re(32i+32i)
The opposite of -32i is 32i.
Re(64i)
Add 32i and 32i to get 64i.
0
The real part of 64i is 0.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}