Evaluate
\frac{32}{81}\approx 0.395061728
Factor
\frac{2 ^ {5}}{3 ^ {4}} = 0.3950617283950617
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\frac{64}{729}\times \left(\frac{1}{3}\right)^{-4}\times 3^{-1}\times \frac{1}{6}
Calculate \frac{2}{3} to the power of 6 and get \frac{64}{729}.
\frac{64}{729}\times 81\times 3^{-1}\times \frac{1}{6}
Calculate \frac{1}{3} to the power of -4 and get 81.
\frac{64}{9}\times 3^{-1}\times \frac{1}{6}
Multiply \frac{64}{729} and 81 to get \frac{64}{9}.
\frac{64}{9}\times \frac{1}{3}\times \frac{1}{6}
Calculate 3 to the power of -1 and get \frac{1}{3}.
\frac{64}{27}\times \frac{1}{6}
Multiply \frac{64}{9} and \frac{1}{3} to get \frac{64}{27}.
\frac{32}{81}
Multiply \frac{64}{27} and \frac{1}{6} to get \frac{32}{81}.
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}