Given the indicinal expression;
[tex]\frac{7^9}{7^6}[/tex]According to law of indices, when the base of the values are the same and they are dividing each other, we will subtract the power as shown;
[tex]\text{Generally, }\frac{a^m}{a^n}=a^{m-n}[/tex]Simplifying the question now;
[tex]\begin{gathered} \frac{7^9}{7^6}=7^{9-6} \\ \frac{7^9}{7^6}=7^3 \\ \end{gathered}[/tex]The quotient as repeated multiplication will be;
[tex]7^3\text{ = 7}\times7\times7[/tex]The quotient expresses as a power is;
[tex]7^3[/tex]