Question

$$41/42/43/44/45/46/47/48/49/40/$$

Answer

$$41/(72.73374248448*10^13)$$

Solution


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  \((72.733742)\times {10}^{13}\).
\[\frac{41}{72.733742\times {10}^{13}}\]