To solve the expression \(-4(3+12^0)+15^0\) using the Zero Power Rule, we first need to evaluate \(12^0\) and \(15^0\).
According to the Zero Power Rule, any nonzero number raised to the power of 0 equals 1:
- \(12^0 = 1\)
- \(15^0 = 1\)
Now we can plug these values into the expression:
\[ -4(3+12^0) + 15^0 = -4(3+1) + 1 \]
Now simplify the expression:
\[ = -4(4) + 1 \]
Continuing, we get:
\[ = -16 + 1 = -15 \]
Thus, the correct process is:
\(-4(3+12^0)+15^0 = -4(3+1) + 1 = -4 \cdot 4 + 1 = -16 + 1 = -15\).
So the correct response is:
\(-4(3+12^0)+15^0 = -4(3+1) + 1 = -4 \cdot 4 + 1 = -16 + 1 = -15\).