\(\frac{2^{10}.3^{10}-3^{10}.3^9}{2^9.3^{10}}=\frac{3^{10}\left(2^{10}-3^9\right)}{2^9.3^{10}}\)\(=\)\(\frac{2^{10}-3^9}{2^9}=\frac{2^9.2-3^9}{2^9}=2-3^9\)
\(\frac{2^{10}.3^{10}-3^{10}.3^9}{2^9.3^{10}}=\frac{3^{10}\left(2^{10}-3^9\right)}{2^9.3^{10}}=\frac{2^{10}-3^9}{2^9}\)