\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3-1\right)}{2^9.3^{10}}=\frac{2^{11}.3^9}{2^9.3^{10}}=\frac{4}{3}\)
\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}\)=\(\frac{2^{10}.3^{10}}{2^9.3^{10}}\)\(-\frac{2^{10}.3^9}{2^9.3^{10}}\)=2 - \(\frac{2}{3}\)=\(\frac{4}{3}\)