\begin{align*}
(\frac{2}{3})^4 &= \frac{2^4}{3^4} = \frac{16}{81} \\
1\frac{65}{81} &= \frac{1 \cdot 81 + 65}{81} = \frac{81 + 65}{81} = \frac{146}{81} \\
\frac{16}{81} + \frac{146}{81} &= \frac{16 + 146}{81} = \frac{162}{81} = 2
\end{align*}
Ответ: 2