Simplify the following : `17-18div(2xx3-4)]`

Answer

To simplify the expression \( 17 - 18 \div (2 \times 3 - 4) \), we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

**Step 1: Solve the expression inside the parentheses.**

We have \( 2 \times 3 - 4 \).

- First, we perform the multiplication:
\[ 2 \times 3 = 6 \]

- Now, substitute back into the expression:
\[ 6 - 4 \]

- Next, perform the subtraction:
\[ 6 - 4 = 2 \]

**Step 2: Substitute back into the main expression.**

Now we replace the parentheses in the original expression:
\[ 17 - 18 \div 2 \]

**Step 3: Perform the division.**

Next, we divide \( 18 \) by \( 2 \):
\[ 18 \div 2 = 9 \]

**Step 4: Substitute back into the expression.**

Now we have:
\[ 17 - 9 \]

**Step 5: Perform the subtraction.**

Finally, we subtract:
\[ 17 - 9 = 8 \]

Thus, the simplified expression is:
\[ \boxed{8} \]

---