To simplify the expression \(2^3 \cdot 16 + 24 \div 4\), let's go through it step by step:
1. First, evaluate the exponentiation: \(2^3\).
[tex]\[
2^3 = 8
\][/tex]
2. Next, use the result of the exponentiation in the multiplication: \(8 \cdot 16\).
[tex]\[
8 \cdot 16 = 128
\][/tex]
3. Then, perform the division: \(24 \div 4\).
[tex]\[
24 \div 4 = 6
\][/tex]
4. Finally, add the results of the multiplication and division steps together.
[tex]\[
128 + 6 = 134
\][/tex]
Therefore, the simplified expression is \(134\). Thus, the answer is:
[tex]\[
\boxed{134}
\][/tex]
