The solution to the multi-step problem $\left(\frac{3}{9} \cdot 12\right)^2 - (2 - 3)^3$ is $17$.

Would you like a detailed step-by-step explanation of the solution?

Here are five related questions:

1. How do you simplify fractions within an expression like $\frac{3}{9}$?
2. What rules apply when squaring a product, as seen in $\left(\frac{3}{9} \cdot 12\right)^2$?
3. How do negative exponents, such as $(2 - 3)^3$, affect the calculation?
4. Can you solve similar problems with different fractions, like $\left(\frac{5}{10} \cdot 8\right)^2 - (4 - 5)^3$?
5. How would the result change if the operations inside the parentheses were altered?

Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) to avoid mistakes.