Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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]
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.