The expression in the image is $\frac{9^7}{9^2}$. To simplify it using the quotient rule of exponents, the rule states:

$\frac{a^m}{a^n} = a^{m-n}$

Here, $a = 9$, $m = 7$, and $n = 2$. So, applying the quotient rule:

$\frac{9^7}{9^2} = 9^{7-2} = 9^5$

Therefore, the correct answer is $9^5$.

Would you like further explanation on how the quotient rule works or any other details?

Here are 5 related questions to deepen understanding:

1. How would you simplify $\frac{9^8}{9^3}$?
2. What happens if the exponents are negative, like $\frac{9^{-2}}{9^{-5}}$?
3. How does the quotient rule differ from the product rule of exponents?
4. What is the expanded form of $9^5$?
5. Can you use the quotient rule on variables instead of numbers, such as $\frac{x^7}{x^2}$?

Tip: When working with exponents, always pay attention to the base. The quotient rule applies only if the bases are the same.