1. **State the problem:** Evaluate the expression $10 \times 3 + 8 \div 4 + (6 - 2)^2$ using the order of operations.
2. **Recall the order of operations:** Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
3. **Evaluate inside the parentheses:**
$$6 - 2 = 4$$
4. **Apply the exponent:**
$$(6 - 2)^2 = 4^2 = 16$$
5. **Rewrite the expression with evaluated parts:**
$$10 \times 3 + 8 \div 4 + 16$$
6. **Perform multiplication and division from left to right:**
$$10 \times 3 = 30$$
$$8 \div 4 = 2$$
7. **Substitute these values back:**
$$30 + 2 + 16$$
8. **Perform addition from left to right:**
$$30 + 2 = 32$$
$$32 + 16 = 48$$
**Final answer:** $48$
Order Operations 2F8Ba0
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.