Evaluate
\frac{6627}{8}=828.375
Factor
\frac{3 \cdot 47 ^ {2}}{2 ^ {3}} = 828\frac{3}{8} = 828.375
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\frac{8836-47^{2}}{2\times 4}
Calculate 94 to the power of 2 and get 8836.
\frac{8836-2209}{2\times 4}
Calculate 47 to the power of 2 and get 2209.
\frac{6627}{2\times 4}
Subtract 2209 from 8836 to get 6627.
\frac{6627}{8}
Multiply 2 and 4 to get 8.
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}