Evaluate
\frac{27783}{2}=13891.5
Factor
\frac{3 ^ {4} \cdot 7 ^ {3}}{2} = 13891\frac{1}{2} = 13891.5
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12000\left(1+\frac{1}{20}\right)^{3}
Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.
12000\times \left(\frac{21}{20}\right)^{3}
Add 1 and \frac{1}{20} to get \frac{21}{20}.
12000\times \frac{9261}{8000}
Calculate \frac{21}{20} to the power of 3 and get \frac{9261}{8000}.
\frac{27783}{2}
Multiply 12000 and \frac{9261}{8000} to get \frac{27783}{2}.
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}