$$\frac{3^{4}\times7^{6}\times8^{9}}{6^{6}\times7^{3}\times9^{4}}$$
$\frac{719323136}{59049}\approx 12181.800470795$
$$\frac{3^{4}\times 7^{3}\times 8^{9}}{6^{6}\times 9^{4}}$$
$$\frac{81\times 7^{3}\times 8^{9}}{6^{6}\times 9^{4}}$$
$$\frac{81\times 343\times 8^{9}}{6^{6}\times 9^{4}}$$
$$\frac{27783\times 8^{9}}{6^{6}\times 9^{4}}$$
$$\frac{27783\times 134217728}{6^{6}\times 9^{4}}$$
$$\frac{3728971137024}{6^{6}\times 9^{4}}$$
$$\frac{3728971137024}{46656\times 9^{4}}$$
$$\frac{3728971137024}{46656\times 6561}$$
$$\frac{3728971137024}{306110016}$$
$$\frac{719323136}{59049}$$
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$\frac{2 ^ {21} \cdot 7 ^ {3}}{3 ^ {10}} = 12181\frac{47267}{59049} = 12181.80047079544$
