Final answer:
To evaluate the expression 7 + (5 - 9)2 + 3(16 ÷ 8), we follow the order of operations: parentheses, exponents, multiplication/division, and addition/subtraction. The value of the expression is 29.
Step-by-step explanation:
To evaluate the expression 7 + (5 - 9)2 + 3(16 ÷ 8) using the order of operations, we follow these steps:
- First, we calculate the value inside the parentheses: 5 - 9 = -4.
- Next, we calculate the exponent: (-4)2 = 16.
- Then, we evaluate the division: 16 ÷ 8 = 2.
- Finally, we perform the addition and multiplication from left to right: 7 + 16 + 3(2) = 7 + 16 + 6 = 29.
Therefore, the value of the expression is 29.