Question

Simplify the following expression. Show each step as you simplify, not just your final answer. (3 points) 18+52−2(11−8)3 *Hint: Click on the x−−√ in the text box menu to open up a math editor. *If you prefer to handwrite your work, there is a drop box at the end of this test for you to upload photos of your work. Please just note your plan to do so in the box below.

Answer 1

To simplify the expression \( 18 + 52 - 2(11 - 8)3 \), we'll follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

### Step 1: Simplify inside the parentheses.
First, calculate \( (11 - 8) \):
\[
11 - 8 = 3.
\]

### Step 2: Substitute back into the expression.
Now replace \( (11 - 8) \) with \( 3 \):
\[
18 + 52 - 2(3)3.
\]

### Step 3: Simplify the multiplication.
Next, we simplify \( 2(3)3 \):
\[
2(3)3 = 2 \cdot 3 \cdot 3 = 2 \cdot 9 = 18.
\]
Now substitute back into the expression:
\[
18 + 52 - 18.
\]

### Step 4: Perform the addition and subtraction from left to right.
1. Start with \( 18 + 52 \):
\[
18 + 52 = 70.
\]

2. Then subtract \( 18 \):
\[
70 - 18 = 52.
\]

### Final Result:
The simplified expression is
\[
\boxed{52}.
\]