Simplify.
\[\frac{41}{42\times 43\times 44\times 45\times 46\times 47\times 48\times 49\times \frac{40}{}}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{41}{42\times 43\times 44\times 45\times 46\times 47\times 48\times 49\times 40}\]
Simplify \(42\times 43\) to \(1806\).
\[\frac{41}{1806\times 44\times 45\times 46\times 47\times 48\times 49\times 40}\]
Simplify \(1806\times 44\) to \(79464\).
\[\frac{41}{79464\times 45\times 46\times 47\times 48\times 49\times 40}\]
Simplify \(79464\times 45\) to \(3575880\).
\[\frac{41}{3575880\times 46\times 47\times 48\times 49\times 40}\]
Simplify \(3575880\times 46\) to \(164490480\).
\[\frac{41}{164490480\times 47\times 48\times 49\times 40}\]
Simplify \(164490480\times 47\) to \(7731052560\).
\[\frac{41}{7731052560\times 48\times 49\times 40}\]
Simplify \(7731052560\times 48\) to \(371090522880\).
\[\frac{41}{371090522880\times 49\times 40}\]
Simplify \(371090522880\times 49\) to \(1.818344\times {10}^{13}\).
\[\frac{41}{1.818344\times {10}^{13}\times 40}\]
Simplify \(1.818344\times {10}^{13}\times 40\) to \((72.733742)\times {10}^{13}\).
\[\frac{41}{72.733742\times {10}^{13}}\]
41/(72.73374248448*10^13)