\left. \begin{array} { l } { ( \frac { 1 } { 3 ^ { 4 } } ) } \\ { ( \frac { 8 } { 3 ^ { 5 } } ) } \\ { ( \frac { 40 } { 3 ^ { 6 } } ) } \\ { ( \frac { 160 } { 3 ^ { 7 } } ) } \end{array} \right.
Sort
\frac{1}{81},\ \frac{8}{243},\ \frac{40}{729},\ \frac{160}{2187}
Evaluate
\frac{1}{81},\ \frac{8}{243},\ \frac{40}{729},\ \frac{160}{2187}
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sort(\frac{1}{81},\frac{8}{3^{5}},\frac{40}{3^{6}},\frac{160}{3^{7}})
Calculate 3 to the power of 4 and get 81.
sort(\frac{1}{81},\frac{8}{243},\frac{40}{3^{6}},\frac{160}{3^{7}})
Calculate 3 to the power of 5 and get 243.
sort(\frac{1}{81},\frac{8}{243},\frac{40}{729},\frac{160}{3^{7}})
Calculate 3 to the power of 6 and get 729.
sort(\frac{1}{81},\frac{8}{243},\frac{40}{729},\frac{160}{2187})
Calculate 3 to the power of 7 and get 2187.
\frac{27}{2187},\frac{72}{2187},\frac{120}{2187},\frac{160}{2187}
Least common denominator of the numbers in the list \frac{1}{81},\frac{8}{243},\frac{40}{729},\frac{160}{2187} is 2187. Convert numbers in the list to fractions with denominator 2187.
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}