Evaluate
\frac{1}{6}\approx 0.166666667
Factor
\frac{1}{2 \cdot 3} = 0.16666666666666666
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\frac{729\times 4^{3}}{6^{7}}
Calculate 3 to the power of 6 and get 729.
\frac{729\times 64}{6^{7}}
Calculate 4 to the power of 3 and get 64.
\frac{46656}{6^{7}}
Multiply 729 and 64 to get 46656.
\frac{46656}{279936}
Calculate 6 to the power of 7 and get 279936.
\frac{1}{6}
Reduce the fraction \frac{46656}{279936} to lowest terms by extracting and canceling out 46656.
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Matrix
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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}