Question

Use the Order of Operations to simplify (solve) the expression: 24 ÷ 2 to the power of 3
- 4 • 5

Answer 1

To simplify the expression \( 24 \div 2^3 - 4 \cdot 5 \), we will follow the Order of Operations (PEMDAS/BODMAS).

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

2. **Division**: Next, perform the division \( 24 \div 8 \).
\[
24 \div 8 = 3
\]

3. **Multiplication**: Now handle the multiplication \( 4 \cdot 5 \).
\[
4 \cdot 5 = 20
\]

4. **Subtraction**: Finally, subtract the results: \( 3 - 20 \).
\[
3 - 20 = -17
\]

So, the simplified expression yields:
\[
\boxed{-17}
\]