Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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


Sagot :

Certainly! Let's solve the expression step-by-step:

We are given the expression:
[tex]\[ 78 - [24 - \{16(5 - 4 - 1)\}] \][/tex]

### Step 1: Solve the innermost parentheses
First, we solve the expression inside the parentheses:
[tex]\[ 5 - 4 - 1 \][/tex]

Step-by-step, we get:
[tex]\[ 5 - 4 = 1 \][/tex]
[tex]\[ 1 - 1 = 0 \][/tex]

So, \( 5 - 4 - 1 = 0 \).

### Step 2: Multiply by 16
Next, we use the result from Step 1 and multiply it by 16:
[tex]\[ 16 \times 0 = 0 \][/tex]

### Step 3: Solve the expression inside the curly braces
Now we include this multiplication result back into the original expression:
[tex]\[ 24 - 0 \][/tex]

### Step 4: Subtract from 24
Perform the subtraction:
[tex]\[ 24 - 0 = 24 \][/tex]

### Step 5: Solve the outermost expression
Finally, subtract this result from 78:
[tex]\[ 78 - 24 = 54 \][/tex]

So, the final answer is:
[tex]\[ 54 \][/tex]