Evaluate
4020
Factor
2^{2}\times 3\times 5\times 67
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\frac{1}{5\times \frac{1}{100}}+4\times 10^{3}
Calculate 10 to the power of -2 and get \frac{1}{100}.
\frac{1}{\frac{1}{20}}+4\times 10^{3}
Multiply 5 and \frac{1}{100} to get \frac{1}{20}.
1\times 20+4\times 10^{3}
Divide 1 by \frac{1}{20} by multiplying 1 by the reciprocal of \frac{1}{20}.
20+4\times 10^{3}
Multiply 1 and 20 to get 20.
20+4\times 1000
Calculate 10 to the power of 3 and get 1000.
20+4000
Multiply 4 and 1000 to get 4000.
4020
Add 20 and 4000 to get 4020.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 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}