Evaluate
\frac{81}{160}=0.50625
Factor
\frac{3 ^ {4}}{2 ^ {5} \cdot 5} = 0.50625
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\frac{1073741824+2^{24}+2^{28}}{2^{31}+2^{30}-2^{29}}
Calculate 2 to the power of 30 and get 1073741824.
\frac{1073741824+16777216+2^{28}}{2^{31}+2^{30}-2^{29}}
Calculate 2 to the power of 24 and get 16777216.
\frac{1090519040+2^{28}}{2^{31}+2^{30}-2^{29}}
Add 1073741824 and 16777216 to get 1090519040.
\frac{1090519040+268435456}{2^{31}+2^{30}-2^{29}}
Calculate 2 to the power of 28 and get 268435456.
\frac{1358954496}{2^{31}+2^{30}-2^{29}}
Add 1090519040 and 268435456 to get 1358954496.
\frac{1358954496}{2147483648+2^{30}-2^{29}}
Calculate 2 to the power of 31 and get 2147483648.
\frac{1358954496}{2147483648+1073741824-2^{29}}
Calculate 2 to the power of 30 and get 1073741824.
\frac{1358954496}{3221225472-2^{29}}
Add 2147483648 and 1073741824 to get 3221225472.
\frac{1358954496}{3221225472-536870912}
Calculate 2 to the power of 29 and get 536870912.
\frac{1358954496}{2684354560}
Subtract 536870912 from 3221225472 to get 2684354560.
\frac{81}{160}
Reduce the fraction \frac{1358954496}{2684354560} to lowest terms by extracting and canceling out 16777216.
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}