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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.