I want the answer for the captured question urgently

Dear Student,
Please find below the solution to the asked query:

$$\begin{gathered} \frac{3^{40}+3^{39}}{3^{41}-3^{40}} \\ =\frac{3^{39}}{3^{40}}\left(\frac{3+1}{3-1}\right) \\ =\frac{3^{39}}{3\times 3^{39}}\left(\frac{4}{2}\right) \\ =\frac{1}{3}\left(\frac{2}{1}\right) \\ =\frac{2}{3} \end{gathered}$$

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