Evaluate
50
Factor
2\times 5^{2}
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5+4\times 2^{1}+\frac{36}{\left(3-2\right)^{4}}+5-2^{2}
Calculate the square root of 25 and get 5.
5+4\times 2+\frac{36}{\left(3-2\right)^{4}}+5-2^{2}
Calculate 2 to the power of 1 and get 2.
5+8+\frac{36}{\left(3-2\right)^{4}}+5-2^{2}
Multiply 4 and 2 to get 8.
13+\frac{36}{\left(3-2\right)^{4}}+5-2^{2}
Add 5 and 8 to get 13.
13+\frac{36}{1^{4}}+5-2^{2}
Subtract 2 from 3 to get 1.
13+\frac{36}{1}+5-2^{2}
Calculate 1 to the power of 4 and get 1.
13+36+5-2^{2}
Anything divided by one gives itself.
49+5-2^{2}
Add 13 and 36 to get 49.
54-2^{2}
Add 49 and 5 to get 54.
54-4
Calculate 2 to the power of 2 and get 4.
50
Subtract 4 from 54 to get 50.
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}