Certainly! Let's simplify the expression step-by-step:
The expression we have is:
[tex]\[ 5 - 8 \div 2 + 2^3 \][/tex]
1. Order of operations (PEMDAS/BODMAS):
- Parentheses/Brackets (P/B)
- Exponents/Orders (E/O)
- Multiplication and Division (MD from left to right)
- Addition and Subtraction (AS from left to right)
2. First, we handle the division:
[tex]\[ 8 \div 2 = 4 \][/tex]
So the expression now becomes:
[tex]\[ 5 - 4 + 2^3 \][/tex]
3. Next, we handle the exponentiation:
[tex]\[ 2^3 = 8 \][/tex]
Which simplifies the expression to:
[tex]\[ 5 - 4 + 8 \][/tex]
4. Finally, we perform the addition and subtraction from left to right:
[tex]\[ 5 - 4 = 1 \][/tex]
[tex]\[ 1 + 8 = 9 \][/tex]
So, the simplified form of the expression [tex]\( 5 - 8 \div 2 + 2^3 \)[/tex] is [tex]\( 9 \)[/tex].
