\(\frac{5^3.55.2^4.3^4.11}{2^5.3^3.33.55.5^2}=\frac{5^3.5.11.2^4.3^4.11}{2^5.3^3.3.11.5.11.5^2}\)
\(=\frac{2^4.3^4.5^4.11^2}{2^5.3^4.5^3.11^2}=\frac{1.1.5.1}{2.1.1.1}=\frac{5}{2}\)
\(\frac{5^3.55.2^4.3^4.11}{2^5.3^3.33.55.5^2}\)
\(=\frac{5^3.5.11.2^4.3^4.11}{2^5.3^3.3.11.11.5.5^2}\)
\(=\frac{5^4.11^2.2^4.3^4}{2^5.3^4.11^2.5^3}\)
\(=\frac{\left(5^3.11^2.2^4.3^4\right).5}{\left(5^3.11^2.2^4.3^4\right).2}\)
\(=\frac{5}{2}\)