Which of the following shows the correct process of solving - 4(3 + 12 ^ 0) + 15 ^ 0 by generating an equivalent expression using the Zero Power Rule? (1 point) - 4(3 + 12 ^ 0) + 15 ^ 0 = - 4(15) + 15 = - 60 + 15 = - 45; - 4(3 + 12 ^ 0) + 15 ^ 0 = - 4(3 + 1) + 1 = - 4 * 4 + 1 = - 4 * 5 =-20*; - 4(3 + 12 ^ 0) + 15 ^ 0 = - 4(3 + 1) + 1 = - 4 * 4 + 1 = - 16 + 1 = - 15; - 4(3 + 12 ^ 0) + 15 ^ 0 = - 4(15) + 1 = - 60 + 1 = - 59
- 4(3 + 12 ^ 0) + 15 ^ 0 = - 4(3 + 1) + 1 = - 4 * 4 + 1 = - 16 + 1 = - 15
The correct process of solving - 4(3 + 12^0) + 15^0 by generating an equivalent expression using the Zero Power Rule is:
- 4(3 + 12^0) + 15^0 = - 4(3 + 1) + 1 = - 4 * 4 + 1 = - 16 + 1 = - 15.
To solve the given expression using the Zero Power Rule, we need to remember that any number raised to the power of zero equals 1.
Let's break down the expression step by step:
1. Start with the original expression: - 4(3 + 12^0) + 15^0
2. According to the Zero Power Rule, 12^0 equals 1. So, replace 12^0 with 1 in the expression: - 4(3 + 1) + 15^0
3. Simplify the expression inside the parentheses: - 4(3 + 1) + 15^0 = - 4(4) + 15^0
4. Next, perform the multiplication: - 4(4) + 15^0 = -16 + 15^0
5. Apply the Zero Power Rule again. Since 15^0 equals 1, replace 15^0 with 1 in the expression: -16 + 1
6. Finally, perform the addition: -16 + 1 = -15
Therefore, the correct process for solving the expression using the Zero Power Rule is: - 4(3 + 12^0) + 15^0 = - 4(3 + 1) + 1 = - 4 * 4 + 1 = - 16 + 1 = - 15
So, the answer is -15.