hich of the following shows the correct process of solving −4(3+12^0)+15^0 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 \(-4(3 + 12^0) + 15^0\) using the Zero Power Rule, we first recognize that any non-zero number raised to the power of zero equals one. Thus, we have:

• \(12^0 = 1\)
• \(15^0 = 1\)

Now we can substitute these values into the expression:

\[ -4(3 + 1) + 1 \]

Next, we simplify inside the parentheses:

\[ -4(4) + 1 \]

Then we multiply:

\[ -16 + 1 \]

Finally, we add:

\[ -15 \]

So the correct process that illustrates this is:

−4(3 + 12^0) + 15^0 = −4(3 + 1) + 1 = −4⋅4 + 1 = −16 + 1 = −15

Thus, the correct response is:

−4(3 + 120) + 150 = −4(3 + 1) + 1 = −4⋅4 + 1 = −16 + 1 = −15