Evaluate
8192
Factor
2^{13}
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64\times 16^{3}\times 4^{-\frac{5}{2}}
Calculate 8 to the power of 2 and get 64.
64\times 4096\times 4^{-\frac{5}{2}}
Calculate 16 to the power of 3 and get 4096.
262144\times 4^{-\frac{5}{2}}
Multiply 64 and 4096 to get 262144.
262144\times \frac{1}{32}
Calculate 4 to the power of -\frac{5}{2} and get \frac{1}{32}.
8192
Multiply 262144 and \frac{1}{32} to get 8192.
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}