\(\dfrac{3^4.4-6^6}{\text{3^5.5+10. 3^4}}\)
=\(\dfrac{3^4.2^2-\left(3.2\right)^6}{3^5.5+2.5.3^4}\)
=\(\dfrac{3^4.2^2-3^6.2^6}{3^4.5.\left(3+2\right)}\)
=\(\dfrac{3^4.2^2.\left(1-3^2.2^2\right)}{3^4.5^2}\)
=\(\dfrac{3^4.2^2.\left(-35\right)}{3^4.5^2}\)
=\(\dfrac{2^2.\left(-7\right).5}{5^2}\)
=\(\dfrac{2^2.\left(-7\right)}{5}\)=\(\dfrac{-28}{5}\)