Evaluate
-11-2i
Real Part
-11
Share
Copied to clipboard
\left(i^{4}+2i\right)^{3}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
\left(1+2i\right)^{3}
Calculate i to the power of 4 and get 1.
-11-2i
Calculate 1+2i to the power of 3 and get -11-2i.
Re(\left(i^{4}+2i\right)^{3})
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
Re(\left(1+2i\right)^{3})
Calculate i to the power of 4 and get 1.
Re(-11-2i)
Calculate 1+2i to the power of 3 and get -11-2i.
-11
The real part of -11-2i is -11.
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}