\(\frac{6^2.15-6^3}{13.3^2-4.3^2}\)
\(=\frac{6^2.15-6^2.6}{\left(13-4\right)3^2}\)
\(=\frac{6^2\left(15-6\right)}{9.3^2}\)
\(=\frac{6^2.9}{9.3^2}\)
\(=\frac{6^2}{3^2}\)
\(=\frac{3^2.2^2}{3^2}\)
\(=2^2\)
\(=4\)
\(\frac{6^2.15-6^3}{13.3^2-4.3^2}=\frac{6^2\left(15-6\right)}{3^2\left(13-4\right)}=\frac{6^2.9}{3^2.9}=2^2\)