Question

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=−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

−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

Answer 1

-12 - 480 + 150 = - 642 the way you wrote
but if the zeros are exponents like:
−4(3+12^0)+15^0
then
−4(3+1)+1
because anything^0 = 1
=-16 + 1
= -15

Answer 2

The correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule is:
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15

Answer 3

Apologies for the confusion. You are correct. The correct interpretation of the expression −4(3+120)+150 using the Zero Power Rule is:
−4(3+12^0)+15^0

= −4(3+1)+1

= −4⋅4+1

= −16+1

= -15

Thank you for pointing out the error and providing the correct explanation.