Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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]
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.