Final answer:
To evaluate the expression 4³+[(96÷8)×5]-42, we follow the order of operations, resulting in 82 as the final answer.
Step-by-step explanation:
The student's question involves evaluating an arithmetic expression using order of operations. Let's go through the steps to solve the expression 4³+[(96÷8)×5]-42.
First, we will calculate the exponent, 4³.
Next, we handle the operations inside the brackets, starting with division (96÷8), followed by multiplication by 5.
Lastly, we subtract 42 from the sum of the previous results.
Calculating each step:
- 4³ = 4×4×4 = 64
- 96÷8 = 12
- 12×5 = 60
- Adding the exponent result to the multiplication result: 64 + 60 = 124
- Finally, subtracting 42 from 124: 124 - 42 = 82
Therefore, the evaluated expression is 82.