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

- 4 • 5

1 answer

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: \[ \boxed{-17} \]