Let's break down the expression step by step:

The given expression is:

$\frac{(-9) \times (-5) - 9}{-6}$

1. Multiply $(-9)$ by $(-5)$:

$(-9) \times (-5) = 45$

2. Subtract $9$ from $45$:

$45 - 9 = 36$

3. Divide $36$ by $(-6)$:

$\frac{36}{-6} = -6$

Now, let's square the result:

$(-6)^2 = 36$

So, the final answer is:

$36$

Would you like further details or have any questions?

Here are five related questions for you:

1. What happens when squaring a negative number?
2. How do you simplify expressions with negative signs in multiplication and division?
3. How does the order of operations (PEMDAS) affect solving this problem?
4. What is the result of dividing a positive number by a negative number?
5. What happens if you change the order of operations in this expression?

Tip: Always remember to follow the order of operations (PEMDAS) when simplifying complex expressions.