Evaluate
36
Factor
2^{2}\times 3^{2}
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\frac{2\times \left(2\times 3\right)^{3}\times \left(3\times 5\right)^{4}}{3\times \left(3\times 3\right)^{2}\times \left(5\times 10\right)^{2}}
Cancel out 3\times 3 in both numerator and denominator.
\frac{2\times 6^{3}\times \left(3\times 5\right)^{4}}{3\times \left(3\times 3\right)^{2}\times \left(5\times 10\right)^{2}}
Multiply 2 and 3 to get 6.
\frac{2\times 216\times \left(3\times 5\right)^{4}}{3\times \left(3\times 3\right)^{2}\times \left(5\times 10\right)^{2}}
Calculate 6 to the power of 3 and get 216.
\frac{432\times \left(3\times 5\right)^{4}}{3\times \left(3\times 3\right)^{2}\times \left(5\times 10\right)^{2}}
Multiply 2 and 216 to get 432.
\frac{432\times 15^{4}}{3\times \left(3\times 3\right)^{2}\times \left(5\times 10\right)^{2}}
Multiply 3 and 5 to get 15.
\frac{432\times 50625}{3\times \left(3\times 3\right)^{2}\times \left(5\times 10\right)^{2}}
Calculate 15 to the power of 4 and get 50625.
\frac{21870000}{3\times \left(3\times 3\right)^{2}\times \left(5\times 10\right)^{2}}
Multiply 432 and 50625 to get 21870000.
\frac{21870000}{3\times 9^{2}\times \left(5\times 10\right)^{2}}
Multiply 3 and 3 to get 9.
\frac{21870000}{3\times 81\times \left(5\times 10\right)^{2}}
Calculate 9 to the power of 2 and get 81.
\frac{21870000}{243\times \left(5\times 10\right)^{2}}
Multiply 3 and 81 to get 243.
\frac{21870000}{243\times 50^{2}}
Multiply 5 and 10 to get 50.
\frac{21870000}{243\times 2500}
Calculate 50 to the power of 2 and get 2500.
\frac{21870000}{607500}
Multiply 243 and 2500 to get 607500.
36
Divide 21870000 by 607500 to get 36.
Examples
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{ 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}