To evaluate the expression [tex]\(7 + (5 - 9)^2 + 3 \left( \frac{16}{8} \right)\)[/tex] using the order of operations, follow these steps:
1. First, evaluate the expression inside the parentheses.
[tex]\[
5 - 9 = -4
\][/tex]
2. Next, evaluate the exponentiation.
[tex]\[
(-4)^2 = 16
\][/tex]
3. Then, perform the division inside the parentheses.
[tex]\[
\frac{16}{8} = 2
\][/tex]
4. Now, perform the multiplication.
[tex]\[
3 \times 2 = 6
\][/tex]
5. Finally, perform the addition.
[tex]\[
7 + 16 + 6 = 29
\][/tex]
The value of the expression is [tex]\( \boxed{29} \)[/tex].
