Final answer:
To solve the expression, follow the order of operations and simplify each step.
Step-by-step explanation:
To solve the expression 10 + (2 x 3)² ÷ 4 x 1/2, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, we simplify the expression within parentheses: 2 x 3 = 6.
Then, we square the result: 6² = 36.
Next, we divide 36 by 4: 36 ÷ 4 = 9.
Finally, we multiply 9 by 1/2: 9 x 1/2 = 4.5.
Therefore, the answer is 4.5.