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Simplify the following expression:
[tex]\[ 78 - [24 - \{16(5 - 4 - 1)\}] \][/tex]

Sagot :

GinnyAnswer
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]
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