To evaluate the expression:
[tex]\[
7 + (5 - 9)^2 + 3 \left( \frac{16}{8} \right)
\][/tex]
we follow the order of operations (PEMDAS/BODMAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)):
1. Evaluate the parentheses:
[tex]\[
5 - 9 = -4
\][/tex]
[tex]\[
\frac{16}{8} = 2
\][/tex]
2. Apply the exponents:
[tex]\[
(-4)^2 = 16
\][/tex]
3. Perform multiplication and division from left to right:
[tex]\[
3 \times 2 = 6
\][/tex]
4. Perform addition and subtraction from left to right:
[tex]\[
7 + 16 + 6 = 29
\][/tex]
So, the value of the expression is [tex]\(\boxed{29}\)[/tex].
