hich 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)

Question

Responses

−4(3+120)+150 =−4(15)+15=−60+15=−45
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 15 equals negative 60 plus 15 equals negative 45

−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(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)+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

Answer 1

To solve the expression \(-4(3+120)+150\) using the Zero Power Rule, we can interpret \(12^0\) as \(1\). However, since the problem specifically uses \(120\) as the number rather than \(12\), we will stick with the given numbers.

The correct expression should evaluate as follows:

1. Calculate the sum inside the parentheses: \(3 + 120 = 123\).
2. Multiply by \(-4\): \(-4 \cdot 123 = -492\).
3. Add \(150\): \(-492 + 150 = -342\).

None of the responses correctly follow through with the Zero Power Rule or arrive at the correct answer. Yet, in terms of closest interpretation using the Zero Power Rule for components labeled incorrectly as \(12^0\) and \(15^0\) in various forms, it seems that the aim could be to simplify incorrectly stated values.

From the options provided, the first option is closer to common computational standards but makes a miscalculation with respect to the values treated. This results in the confusion over the exact setup being conveyed here. Evaluating the components logically using zero values, however, is essential for proper arithmetic resolution.

Based solely on representative calculations of the term you're asking about and clearing out extraneous zero value entries, the typical arithmetic operation would yield:

• For each viable response listed, the first or second outputs could likely be more acceptable answers if their arithmetic were to be re-evaluated properly in adherence to numeric integrity.

To provide further context and guidance, the full breakdown should yield \( -342 \). None of the present choices outputs correctly from analytic workings. Please ensure accurate articulation of your formulation in your own tasks ahead, as this passage simplifies down to clerical interpretations of terms better aligned with integer assessments or linguistic function in response.