Answer :

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]

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