Ask a New Question
Menu

Which of the following shows the correct process of solving −4(3+120)+15 0

by generating an equivalent expression using the Zero Power Rule? (1 point)
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(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+12 0)+15 0=−4(3+1)+1=−4⋅4+1=−4⋅5=−20

1 answer

To solve the expression \(-4(3+120)+15^0\) using the Zero Power Rule, we need to note that any non-zero number raised to the power of 0 equals 1. Therefore, \(15^0\) equals 1.

Let's break down the expression step by step:

  1. Evaluate \(15^0\): \[ 15^0 = 1 \]

  2. Rewrite the expression: Now we update the expression: \[ -4(3 + 120) + 1 \]

  3. Evaluate the addition inside the parentheses: \[ 3 + 120 = 123 \]

  4. Now substitute back into the expression: \[ -4(123) + 1 \]

  5. Calculate \(-4(123)\): \[ -4 \times 123 = -492 \]

  6. Finally, add 1: \[ -492 + 1 = -491 \]

However, none of the responses you provided directly matches this step-by-step calculation.

Since it seems like there may be a misunderstanding—if we look at the original response options again, let me clarify the relevant breakdown:

  1. The part evaluating using \(15^0\) should yield \(1\), not the number \(15\).
  2. So a response that mimics this kind of procedure is:

  • Choosing response options:

    • Response 1: \(-4(3 + 120) + 15^0\) leads to \(-4(15) + 1\) = \(-60 + 1\), which is therefore incorrect since it ends as \(-59\).

  • It looks like none of the given options is a correct evaluation of \(-4(3 + 120) + 15^0\) if following through correctly!

Hence, if we matched it against the way calculations are segmented (especially following the Zero Power Rule assuming intentions), we'd seek the closest explicit breakdown—which sadly appears not to reflect here.

This means ultimately once identified the \(15^0\) equivalent, it results over time influencing accuracy as such studied integers must hold standard—as presented pre-analysis. But given the core of what must be engaged—it still presents no seriously correct solution among listed options.