7. \(\frac{a^{7} \cdot a^6}{a^9}\) при \(a=4\)

\(\frac{a^{7} \cdot a^6}{a^9} = \frac{a^{7+6}}{a^9} = \frac{a^{13}}{a^9} = a^{13-9} = a^4\). Подставим \(a=4\): \(4^4 = 256\).