Evaluate
\frac{64}{9}\approx 7.111111111
Factor
\frac{2 ^ {6}}{3 ^ {2}} = 7\frac{1}{9} = 7.111111111111111
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8^{2}\left(-\frac{1}{3}\right)^{2}
Multiply 2 and 4 to get 8.
64\left(-\frac{1}{3}\right)^{2}
Calculate 8 to the power of 2 and get 64.
64\times \frac{1}{9}
Calculate -\frac{1}{3} to the power of 2 and get \frac{1}{9}.
\frac{64}{9}
Multiply 64 and \frac{1}{9} to get \frac{64}{9}.
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
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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}