Which of the following shows the correct process of solving -4(3+12 to the power of 0) +15 to the power of zero

1 answer

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 \(-15\).