4) \(\dfrac{9^{14}}{3^{12}\cdot27^6}\)
\(=\dfrac{\left(3^2\right)^{14}}{3^{12}\cdot\left(3^3\right)^6}\)
\(=\dfrac{3^{28}}{3^{30}}\)
\(=\dfrac{1}{3^2}\)
\(=\dfrac{1}{9}\)
5) \(\dfrac{9^5\cdot27^3}{3^{18}}\)
\(=\dfrac{\left(3^2\right)^5\cdot\left(3^3\right)^3}{3^{18}}\)
\(=\dfrac{3^{19}}{3^{18}}\)
\(=\dfrac{3^1}{1}\)
\(=3\)
6) \(\dfrac{9^5\cdot9^7}{3^{22}}\)
\(=\dfrac{\left(3^2\right)^5\cdot\left(3^2\right)^7}{3^{22}}\)
\(=\dfrac{3^{24}}{3^{22}}\)
\(=\dfrac{3^2}{1}\)
\(=9\)
