`66xx32div2^(3)+8`=_________?

Options

A. 1060
B. 792
C. 132
D. 272

Answer

To solve the expression \( 66 \times 32 \div 2^3 + 8 \), we will follow the BODMAS/BIDMAS rule, which stands for Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

### Step-by-Step Solution:

1. **Identify the operations**: The expression consists of multiplication, division, and addition. According to BODMAS, we will perform division first.

2. **Calculate \( 2^3 \)**:
\[ 2^3 = 2 \times 2 \times 2 = 8 \]

3. **Substitute back into the expression**: Now the expression becomes:
\[ 66 \times 32 \div 8 + 8 \]

4. **Perform the division \( 32 \div 8 \)**:
\[ 32 \div 8 = 4 \]

5. **Substitute back into the expression**: The expression now simplifies to:
\[ 66 \times 4 + 8 \]

6. **Perform the multiplication \( 66 \times 4 \)**:
\[ 66 \times 4 = 264 \]

7. **Substitute back into the expression**: Now we have:
\[ 264 + 8 \]

8. **Perform the addition**:
\[ 264 + 8 = 272 \]

Thus, the final answer is:
\[ \boxed{272} \]