Evaluate
\frac{864}{35}\approx 24.685714286
Factor
\frac{2 ^ {5} \cdot 3 ^ {3}}{5 \cdot 7} = 24\frac{24}{35} = 24.685714285714287
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\left(\frac{2\times 7}{3\times 5}\right)^{3}\times \left(\frac{15\times 6^{2}}{2\times 7^{2}}\right)^{2}
Cancel out 2 in both numerator and denominator.
\left(\frac{14}{3\times 5}\right)^{3}\times \left(\frac{15\times 6^{2}}{2\times 7^{2}}\right)^{2}
Multiply 2 and 7 to get 14.
\left(\frac{14}{15}\right)^{3}\times \left(\frac{15\times 6^{2}}{2\times 7^{2}}\right)^{2}
Multiply 3 and 5 to get 15.
\frac{2744}{3375}\times \left(\frac{15\times 6^{2}}{2\times 7^{2}}\right)^{2}
Calculate \frac{14}{15} to the power of 3 and get \frac{2744}{3375}.
\frac{2744}{3375}\times \left(\frac{15\times 36}{2\times 7^{2}}\right)^{2}
Calculate 6 to the power of 2 and get 36.
\frac{2744}{3375}\times \left(\frac{540}{2\times 7^{2}}\right)^{2}
Multiply 15 and 36 to get 540.
\frac{2744}{3375}\times \left(\frac{540}{2\times 49}\right)^{2}
Calculate 7 to the power of 2 and get 49.
\frac{2744}{3375}\times \left(\frac{540}{98}\right)^{2}
Multiply 2 and 49 to get 98.
\frac{2744}{3375}\times \left(\frac{270}{49}\right)^{2}
Reduce the fraction \frac{540}{98} to lowest terms by extracting and canceling out 2.
\frac{2744}{3375}\times \frac{72900}{2401}
Calculate \frac{270}{49} to the power of 2 and get \frac{72900}{2401}.
\frac{864}{35}
Multiply \frac{2744}{3375} and \frac{72900}{2401} to get \frac{864}{35}.
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}