Question
Which of the following shows the correct process of solving -4(3+12 to the power of 0) +15 to the power of zero
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Answered by
GPT-4o mini
To solve the expression \(-4(3 + 12^0) + 15^0\), we can follow these steps:
1. **Calculate \(12^0\)**:
Any non-zero number raised to the power of zero is 1. Thus, \(12^0 = 1\).
2. **Substitute back into the expression**:
Now we can replace \(12^0\) in the expression:
\[-4(3 + 1) + 15^0\]
3. **Calculate \(3 + 1\)**:
\[3 + 1 = 4\]
4. **Substitute again**:
Replace \(3 + 1\) in the expression:
\[-4(4) + 15^0\]
5. **Calculate \(15^0\)**:
Similarly, \(15^0 = 1\).
6. **Now the expression becomes**:
\[-4(4) + 1\]
7. **Calculate \(-4(4)\)**:
\[-4 \times 4 = -16\]
8. **Final calculation**:
\[-16 + 1 = -15\]
Thus, the final answer is \(-15\).
1. **Calculate \(12^0\)**:
Any non-zero number raised to the power of zero is 1. Thus, \(12^0 = 1\).
2. **Substitute back into the expression**:
Now we can replace \(12^0\) in the expression:
\[-4(3 + 1) + 15^0\]
3. **Calculate \(3 + 1\)**:
\[3 + 1 = 4\]
4. **Substitute again**:
Replace \(3 + 1\) in the expression:
\[-4(4) + 15^0\]
5. **Calculate \(15^0\)**:
Similarly, \(15^0 = 1\).
6. **Now the expression becomes**:
\[-4(4) + 1\]
7. **Calculate \(-4(4)\)**:
\[-4 \times 4 = -16\]
8. **Final calculation**:
\[-16 + 1 = -15\]
Thus, the final answer is \(-15\).
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