\(\frac{3^{10}\times11+3^5\times5}{3^9\times2^4}\)
\(\Rightarrow\)\(\frac{3^5\left(3^5\times11+5\right)}{3^5\times3^4\times2^4}\)
\(\Rightarrow\frac{3^5\times11+5}{\left(3\times2\right)^4}\)
\(\Rightarrow\frac{3^5\times11+5}{6^4}\)
\(\Rightarrow\frac{3^5\times11}{6^4}+\frac{5}{6^4}\)
\(\Rightarrow\frac{3^5\times11}{2^4\times3^4}+\frac{5}{6^4}\)
\(\Rightarrow\frac{3\times11}{16}+\frac{5}{1295}\)
\(\Rightarrow\frac{33}{16}+\frac{5}{1295}\)
\(\Rightarrow\frac{8563}{4144}\)
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