Final answer:
The expression 4^3 / 2 - 3.6 * (14.1 - 8.7) can be simplified as follows: 4^3 = 64, then 64 / 2 = 32. Next, calculate 14.1 - 8.7 = 5.4. Finally, multiply 3.6 by 5.4 to get 19.44. Substituting the values back, we have 32 - 19.44 = 12.56.
Step-by-step explanation:
The given expression, 4^3 / 2 - 3.6 * (14.1 - 8.7), involves exponentiation, division, subtraction, and multiplication. Here's how you can simplify it step by step:
- Start with the exponentiation: 4^3 = 4 * 4 * 4 = 64.
- Next, divide 64 by 2: 64 / 2 = 32.
- Now, calculate the value inside the parentheses: 14.1 - 8.7 = 5.4.
- Finally, multiply 3.6 by 5.4: 3.6 * 5.4 = 19.44.
Substituting the values back into the original expression, 4^3 / 2 - 3.6 * (14.1 - 8.7), we get 32 - 19.44, which equals 12.56.