Let's break down the expression step by step:

$(-6 \div -3)^3 + 7$

Step 1: Simplify the division inside the parentheses.

$-6 \div -3 = 2$

Now the expression becomes: $(2)^3 + 7$

Step 2: Evaluate the exponent.

$2^3 = 2 \times 2 \times 2 = 8$

Now the expression is: $8 + 7$

Step 3: Add the result.

$8 + 7 = 15$

Thus, the value of the expression is 15.

Would you like more details, or have any questions?

Here are 5 related questions to explore:

1. How do you evaluate expressions with multiple operations?
2. What are the rules for dividing negative numbers?
3. How do you work with exponents in more complex expressions?
4. What is the order of operations and why is it important?
5. Can parentheses change the result of a mathematical expression?

Tip: Always follow the order of operations (PEMDAS) when solving expressions—Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).