Evaluate
\frac{11}{318}\approx 0.034591195
Factor
\frac{11}{2 \cdot 3 \cdot 53} = 0.03459119496855346
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\frac{\frac{1}{2}+2^{-2}+36^{-\frac{1}{2}}}{81^{\frac{3}{4}}+16^{-\frac{1}{4}}-1^{-10}}
Calculate 2 to the power of -1 and get \frac{1}{2}.
\frac{\frac{1}{2}+\frac{1}{4}+36^{-\frac{1}{2}}}{81^{\frac{3}{4}}+16^{-\frac{1}{4}}-1^{-10}}
Calculate 2 to the power of -2 and get \frac{1}{4}.
\frac{\frac{3}{4}+36^{-\frac{1}{2}}}{81^{\frac{3}{4}}+16^{-\frac{1}{4}}-1^{-10}}
Add \frac{1}{2} and \frac{1}{4} to get \frac{3}{4}.
\frac{\frac{3}{4}+\frac{1}{6}}{81^{\frac{3}{4}}+16^{-\frac{1}{4}}-1^{-10}}
Calculate 36 to the power of -\frac{1}{2} and get \frac{1}{6}.
\frac{\frac{11}{12}}{81^{\frac{3}{4}}+16^{-\frac{1}{4}}-1^{-10}}
Add \frac{3}{4} and \frac{1}{6} to get \frac{11}{12}.
\frac{\frac{11}{12}}{27+16^{-\frac{1}{4}}-1^{-10}}
Calculate 81 to the power of \frac{3}{4} and get 27.
\frac{\frac{11}{12}}{27+\frac{1}{2}-1^{-10}}
Calculate 16 to the power of -\frac{1}{4} and get \frac{1}{2}.
\frac{\frac{11}{12}}{\frac{55}{2}-1^{-10}}
Add 27 and \frac{1}{2} to get \frac{55}{2}.
\frac{\frac{11}{12}}{\frac{55}{2}-1}
Calculate 1 to the power of -10 and get 1.
\frac{\frac{11}{12}}{\frac{53}{2}}
Subtract 1 from \frac{55}{2} to get \frac{53}{2}.
\frac{11}{12}\times \frac{2}{53}
Divide \frac{11}{12} by \frac{53}{2} by multiplying \frac{11}{12} by the reciprocal of \frac{53}{2}.
\frac{11}{318}
Multiply \frac{11}{12} and \frac{2}{53} to get \frac{11}{318}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}