Evaluate
1000
Factor
2^{3}\times 5^{3}
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4000-3000e^{0\times 6t}
Multiply 0 and 0 to get 0.
4000-3000e^{0t}
Multiply 0 and 6 to get 0.
4000-3000e^{0}
Anything times zero gives zero.
4000-3000\times 1
Calculate e to the power of 0 and get 1.
4000-3000
Multiply 3000 and 1 to get 3000.
1000
Subtract 3000 from 4000 to get 1000.
1000\left(4-3e^{0}\right)
Factor out 1000.
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}