Evaluate
100
Factor
2^{2}\times 5^{2}
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\frac{32}{8}\times 4+6+72-40+30+\frac{\frac{\frac{\frac{32}{2}}{2}\times 8}{2}}{2}
Multiply 2 and 3 to get 6. Multiply 12 and 6 to get 72. Multiply 10 and 3 to get 30.
4\times 4+6+72-40+30+\frac{\frac{\frac{\frac{32}{2}}{2}\times 8}{2}}{2}
Divide 32 by 8 to get 4.
16+6+72-40+30+\frac{\frac{\frac{\frac{32}{2}}{2}\times 8}{2}}{2}
Multiply 4 and 4 to get 16.
22+72-40+30+\frac{\frac{\frac{\frac{32}{2}}{2}\times 8}{2}}{2}
Add 16 and 6 to get 22.
94-40+30+\frac{\frac{\frac{\frac{32}{2}}{2}\times 8}{2}}{2}
Add 22 and 72 to get 94.
54+30+\frac{\frac{\frac{\frac{32}{2}}{2}\times 8}{2}}{2}
Subtract 40 from 94 to get 54.
84+\frac{\frac{\frac{\frac{32}{2}}{2}\times 8}{2}}{2}
Add 54 and 30 to get 84.
84+\frac{\frac{\frac{32}{2}}{2}\times 8}{2\times 2}
Express \frac{\frac{\frac{\frac{32}{2}}{2}\times 8}{2}}{2} as a single fraction.
84+\frac{\frac{32}{2\times 2}\times 8}{2\times 2}
Express \frac{\frac{32}{2}}{2} as a single fraction.
84+\frac{\frac{32}{4}\times 8}{2\times 2}
Multiply 2 and 2 to get 4.
84+\frac{8\times 8}{2\times 2}
Divide 32 by 4 to get 8.
84+\frac{64}{2\times 2}
Multiply 8 and 8 to get 64.
84+\frac{64}{4}
Multiply 2 and 2 to get 4.
84+16
Divide 64 by 4 to get 16.
100
Add 84 and 16 to get 100.
Examples
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{ 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}