Evaluate
-48
Real Part
-48
Share
Copied to clipboard
16-i^{5}+\left(-i\right)^{3}+\left(-2i\right)^{6}
Calculate 2i to the power of 4 and get 16.
16-i+\left(-i\right)^{3}+\left(-2i\right)^{6}
Calculate i to the power of 5 and get i.
16-i+i+\left(-2i\right)^{6}
Calculate -i to the power of 3 and get i.
\left(-2i\right)^{6}+16
Do the additions.
-64+16
Calculate -2i to the power of 6 and get -64.
-48
Add -64 and 16 to get -48.
Re(16-i^{5}+\left(-i\right)^{3}+\left(-2i\right)^{6})
Calculate 2i to the power of 4 and get 16.
Re(16-i+\left(-i\right)^{3}+\left(-2i\right)^{6})
Calculate i to the power of 5 and get i.
Re(16-i+i+\left(-2i\right)^{6})
Calculate -i to the power of 3 and get i.
Re(\left(-2i\right)^{6}+16)
Do the additions in 16-i+i.
Re(-64+16)
Calculate -2i to the power of 6 and get -64.
Re(-48)
Add -64 and 16 to get -48.
-48
The real part of -48 is -48.
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}