Evaluate
\frac{5}{648}\approx 0.007716049
Factor
\frac{5}{2 ^ {3} \cdot 3 ^ {4}} = 0.007716049382716049
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\frac{1}{4\times 81}+\frac{1}{8\times 27}
Calculate 9 to the power of 2 and get 81.
\frac{1}{324}+\frac{1}{8\times 27}
Multiply 4 and 81 to get 324.
\frac{1}{324}+\frac{1}{216}
Multiply 8 and 27 to get 216.
\frac{2}{648}+\frac{3}{648}
Least common multiple of 324 and 216 is 648. Convert \frac{1}{324} and \frac{1}{216} to fractions with denominator 648.
\frac{2+3}{648}
Since \frac{2}{648} and \frac{3}{648} have the same denominator, add them by adding their numerators.
\frac{5}{648}
Add 2 and 3 to get 5.
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}