Evaluate
\frac{27783}{2}=13891.5
Factor
\frac{3 ^ {4} \cdot 7 ^ {3}}{2} = 13891\frac{1}{2} = 13891.5
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\frac{12000\times 21}{20}\times \frac{21}{20}\times \frac{21}{20}
Express 12000\times \frac{21}{20} as a single fraction.
\frac{252000}{20}\times \frac{21}{20}\times \frac{21}{20}
Multiply 12000 and 21 to get 252000.
12600\times \frac{21}{20}\times \frac{21}{20}
Divide 252000 by 20 to get 12600.
\frac{12600\times 21}{20}\times \frac{21}{20}
Express 12600\times \frac{21}{20} as a single fraction.
\frac{264600}{20}\times \frac{21}{20}
Multiply 12600 and 21 to get 264600.
13230\times \frac{21}{20}
Divide 264600 by 20 to get 13230.
\frac{13230\times 21}{20}
Express 13230\times \frac{21}{20} as a single fraction.
\frac{277830}{20}
Multiply 13230 and 21 to get 277830.
\frac{27783}{2}
Reduce the fraction \frac{277830}{20} to lowest terms by extracting and canceling out 10.
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}