Sure! Let's break down the expression step by step:
The given expression is:
[tex]\[ 78 - [24 - \{16(5 - 4 - 1)\}] \][/tex]
1. Innermost Parentheses: Start with the expression inside the innermost parentheses:
[tex]\[ 5 - 4 - 1 \][/tex]
Calculate this step by step:
[tex]\[ 5 - 4 = 1 \][/tex]
[tex]\[ 1 - 1 = 0 \][/tex]
So, we have:
[tex]\[ 5 - 4 - 1 = 0 \][/tex]
2. Evaluate the Braces: With the value from the innermost parentheses substituted:
[tex]\[ 16(0) \][/tex]
Calculate:
[tex]\[ 16 \times 0 = 0 \][/tex]
So, we have:
[tex]\[ 16(5 - 4 - 1) = 0 \][/tex]
3. Next Level of Brackets: Substitute this value back into the expression:
[tex]\[ 24 - \{0\} \][/tex]
[tex]\[ 24 - 0 = 24 \][/tex]
4. Final Expression: Substitute back into the original expression:
[tex]\[ 78 - [24 - \{0\}] \][/tex]
[tex]\[ 78 - 24 = 54 \][/tex]
So, the step-by-step evaluation leads us to the result:
[tex]\[ 78 - [24 - \{16(5 - 4 - 1)\}] = 54 \][/tex]
