Of course, let's solve the expression step-by-step.
Given expression:
[tex]\[ 6 + 2^3 \cdot 3 \][/tex]
1. Calculate the Exponentiation:
[tex]\[ 2^3 \][/tex]
[tex]\[ 2^3 = 8 \][/tex]
2. Substitute the result back into the expression:
[tex]\[ 6 + 8 \cdot 3 \][/tex]
3. Perform the Multiplication:
[tex]\[ 8 \cdot 3 \][/tex]
[tex]\[ 8 \cdot 3 = 24 \][/tex]
4. Substitute the result back into the expression:
[tex]\[ 6 + 24 \][/tex]
5. Perform the Addition:
[tex]\[ 6 + 24 \][/tex]
[tex]\[ 6 + 24 = 30 \][/tex]
So, the final result is:
[tex]\[ 6 + 2^3 \cdot 3 = 30 \][/tex]