\(\frac{2^{19}\cdot27^4}{6^7\cdot16^3}\)
\(=\frac{2^{19}\cdot3^{12}}{2^7\cdot3^7\cdot2^{12}}\)
\(=\frac{2^{19}\cdot3^{12}}{2^{19}\cdot3^7}\)
\(=3^5\)
\(=243\)
\(\frac{2^{19}.27^4}{6^7.16^3}\)
\(=\frac{2^{19}.\left(3^3\right)^4}{2^7.3^7.\left(2^4\right)^3}\)
\(=\frac{2^{19}.3^{12}}{2^7.3^7.2^{12}}\)
=\(3^5=243\)