Evaluate
\frac{1}{1728}\approx 0.000578704
Factor
\frac{1}{2 ^ {6} \cdot 3 ^ {3}} = 0.0005787037037037037
Share
Copied to clipboard
\left(\frac{12\times 15}{5\times 3}\right)^{-3}
Divide \frac{12}{5} by \frac{3}{15} by multiplying \frac{12}{5} by the reciprocal of \frac{3}{15}.
\left(3\times 4\right)^{-3}
Cancel out 3\times 5 in both numerator and denominator.
12^{-3}
Multiply 3 and 4 to get 12.
\frac{1}{1728}
Calculate 12 to the power of -3 and get \frac{1}{1728}.
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}