Let's break down the expression step by step:

The given expression is:

$10 - (3)^2 \div (6 - 3) \cdot 1$

Step 1: Solve the parentheses

We start by simplifying the terms inside the parentheses.

$6 - 3 = 3$

The expression now becomes:

$10 - (3)^2 \div 3 \cdot 1$

Step 2: Solve the exponent

Next, evaluate $(3)^2$, which means $3^2 = 9$.

Now the expression looks like:

$10 - 9 \div 3 \cdot 1$

Step 3: Division and multiplication (left to right)

According to the order of operations (PEMDAS/BODMAS), we handle division and multiplication from left to right.

1. $9 \div 3 = 3$

Now the expression is:

$10 - 3 \cdot 1$

2. $3 \cdot 1 = 3$

Now the expression is:

$10 - 3$

Step 4: Subtraction

Finally, subtract:

$10 - 3 = 7$

Final Answer:

The result of the expression is $\boxed{7}$.

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. What is $15 - (4)^2 \div (8 - 4) \cdot 2$?
2. How would the expression change if the exponent was $(4)^2$ instead of $(3)^2$?
3. Solve $20 - (5)^2 \div (7 - 2) \cdot 3$.
4. What happens if you change the multiplication to addition in the expression?
5. What if we switch the order of operations by removing parentheses?

Tip: Always remember the order of operations: parentheses, exponents, multiplication and division (left to right), addition and subtraction (left to right).