Evaluate
1
Real Part
1
Quiz
Complex Number
5 problems similar to:
i ^ { 13 } \cdot i ^ { 11 } \cdot i ^ { 29 } \cdot i ^ { 15 }
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i^{24}i^{29}i^{15}
To multiply powers of the same base, add their exponents. Add 13 and 11 to get 24.
i^{53}i^{15}
To multiply powers of the same base, add their exponents. Add 24 and 29 to get 53.
i^{68}
To multiply powers of the same base, add their exponents. Add 53 and 15 to get 68.
1
Calculate i to the power of 68 and get 1.
Re(i^{24}i^{29}i^{15})
To multiply powers of the same base, add their exponents. Add 13 and 11 to get 24.
Re(i^{53}i^{15})
To multiply powers of the same base, add their exponents. Add 24 and 29 to get 53.
Re(i^{68})
To multiply powers of the same base, add their exponents. Add 53 and 15 to get 68.
Re(1)
Calculate i to the power of 68 and get 1.
1
The real part of 1 is 1.
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}