Which of the following shows the correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule? (1 point) Responses −4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15 negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 16 plus 1 equals negative 15 −4(3+120)+150=−4(15)+1=−60+1=−59 negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 1 equals negative 60 plus 1 equals negative 59 −4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20 negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 4 times 5 equals negative 20 −4(3+120)+150 =−4(15)+15=−60+15=−45

To solve the expression \(-4(3+120)+150\) and apply the Zero Power Rule correctly, we first need to evaluate \(120\) using the Zero Power Rule, which expresses it as \(12^0 = 1\).

1. Understand the Zero Power Rule: Any non-zero number raised to the power of zero equals 1. Thus, \(120\) can be interpreted to use the Zero Power Rule incorrectly because it adds complexity unnecessarily. However, it’s better to simply evaluate \(120\) as \(15\) directly instead of introducing the zero exponent concept.

2. Simplify the original expression correctly:
\[
-4(3+120) + 150 = -4(3 + 15) + 150
\]
Since \(120\) is \(15\).

3. Next, we continue with the calculation:
\[
= -4(18) + 150
\]
\[
= -72 + 150
\]
\[
= 78
\]

None of the provided options seem to resolve \(−4(3+120)+150\) correctly (using the power of 0 to mean \(1\)). So the correct processes aren't captured.

However, just strictly based on the problem as it integrates the incorrect notation but seems to follow through the calculation:

The closest choice that aligns with evaluating it while capturing some components of the Zero Power Rule:

**Option**:
\(−4(3+120)+150=−4(3+12^0)+15^0\)
- This translates into \(−4(3+1)+1\),

Following through:
\(-4(3 + 1) + 1 = -4(4) + 1 = -16 + 1 = -15.\)

Thus, the last part matches the first choice proposed whereby it's \(−15\).

**Final Answer: \(-4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15\)** which is the first option shown.