Evaluate
\frac{2048}{59049}\approx 0.03468306
Factor
\frac{2 ^ {11}}{3 ^ {10}} = 0.034683059831665225
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\sqrt[3]{8}\times \left(\frac{2}{3}\right)^{10}
To multiply powers of the same base, add their exponents. Add 7 and 3 to get 10.
2\times \left(\frac{2}{3}\right)^{10}
Calculate \sqrt[3]{8} and get 2.
2\times \frac{1024}{59049}
Calculate \frac{2}{3} to the power of 10 and get \frac{1024}{59049}.
\frac{2048}{59049}
Multiply 2 and \frac{1024}{59049} to get \frac{2048}{59049}.
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
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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}