Evaluate
79.968
Factor
\frac{3 \cdot 17 \cdot 2 ^ {2} \cdot 7 ^ {2}}{5 ^ {3}} = 79\frac{121}{125} = 79.968
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\frac{9800\times 27.2\times 1.2\times 10^{-3}}{4}
Multiply 1000 and 9.8 to get 9800.
\frac{266560\times 1.2\times 10^{-3}}{4}
Multiply 9800 and 27.2 to get 266560.
\frac{319872\times 10^{-3}}{4}
Multiply 266560 and 1.2 to get 319872.
\frac{319872\times \frac{1}{1000}}{4}
Calculate 10 to the power of -3 and get \frac{1}{1000}.
\frac{\frac{39984}{125}}{4}
Multiply 319872 and \frac{1}{1000} to get \frac{39984}{125}.
\frac{39984}{125\times 4}
Express \frac{\frac{39984}{125}}{4} as a single fraction.
\frac{39984}{500}
Multiply 125 and 4 to get 500.
\frac{9996}{125}
Reduce the fraction \frac{39984}{500} to lowest terms by extracting and canceling out 4.
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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}