The expression from the image consists of two parts inside square brackets:

[ \left[ \frac{8 + (-9)}{-9 - 9} \right] \left[ \frac{72 + (-64)}{3 - 8} \right] ]

Let's break it down and solve step by step:

First Bracket:

$\frac{8 + (-9)}{-9 - 9}$

1. Simplify the numerator: $8 + (-9) = -1$.
2. Simplify the denominator: $-9 - 9 = -18$.
3. This gives us: $\frac{-1}{-18} = \frac{1}{18}$

Second Bracket:

$\frac{72 + (-64)}{3 - 8}$

1. Simplify the numerator: $72 + (-64) = 8$.
2. Simplify the denominator: $3 - 8 = -5$.
3. This gives us: $\frac{8}{-5} = -\frac{8}{5}$

Now, multiplying the results of both brackets:

$\left( \frac{1}{18} \right) \times \left( -\frac{8}{5} \right) = -\frac{8}{90}$

Finally, simplify: $-\frac{8}{90} = -\frac{4}{45}$

Final Answer:

$-\frac{4}{45}$

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the general method for simplifying fractions?
2. How do you multiply two fractions together?
3. Why is it important to simplify expressions before multiplication?
4. How do you handle negative signs when performing operations on fractions?
5. What are the steps to convert improper fractions to mixed numbers?

Tip: Always simplify fractions in intermediate steps to make further calculations easier!