Let's break down and evaluate the given mathematical expression step-by-step:
[tex]\[ 3(6) + 4(2)^3 - 5 \][/tex]
1. Evaluate the exponentiation:
- First, we need to handle the exponentiation [tex]\(2^3\)[/tex].
- [tex]\(2^3 = 2 \times 2 \times 2 = 8\)[/tex].
2. Perform the multiplications:
- Next, we multiply 3 by 6.
- [tex]\(3 \times 6 = 18\)[/tex].
- Then, we multiply 4 by the result of the exponentiation.
- [tex]\(4 \times 8 = 32\)[/tex].
3. Sum the results and subtract:
- Now, we add the results of the multiplications.
- [tex]\(18 + 32 = 50\)[/tex].
- Finally, we subtract 5 from the sum.
- [tex]\(50 - 5 = 45\)[/tex].
So, the value of the expression [tex]\(3(6) + 4(2^3) - 5\)[/tex] is [tex]\(\boxed{45}\)[/tex].
