Sure! Let's solve the given expression step-by-step:
The expression we need to evaluate is:
[tex]\[ 8 - \{ 4(10 - 8) - 16 \div 2 \} \][/tex]
1. Evaluate the innermost parentheses:
[tex]\[ 10 - 8 = 2 \][/tex]
So the expression now looks like:
[tex]\[ 8 - \{ 4 \cdot 2 - 16 \div 2 \} \][/tex]
2. Perform the multiplication and division inside the curly brackets:
First, multiply:
[tex]\[ 4 \cdot 2 = 8 \][/tex]
Next, divide:
[tex]\[ 16 \div 2 = 8 \][/tex]
Now the expression is:
[tex]\[ 8 - \{ 8 - 8 \} \][/tex]
3. Evaluate the subtraction inside the curly brackets:
[tex]\[ 8 - 8 = 0 \][/tex]
Now the expression is:
[tex]\[ 8 - 0 \][/tex]
4. Finally, perform the subtraction:
[tex]\[ 8 - 0 = 8 \][/tex]
So, the final result is:
[tex]\[ 8 \][/tex]
