Let's evaluate the expression [tex]\(6 + 2^3 \cdot 3\)[/tex] step by step, following the order of operations:
1. Exponentiation: Evaluate the exponent part first.
[tex]\[
2^3 = 8
\][/tex]
2. Multiplication: Next, multiply the result of the exponentiation by 3.
[tex]\[
8 \cdot 3 = 24
\][/tex]
3. Addition: Finally, add 6 to the result of the multiplication.
[tex]\[
6 + 24 = 30
\][/tex]
Thus, the value of the expression [tex]\(6 + 2^3 \cdot 3\)[/tex] is [tex]\(30\)[/tex].
