Question

Which of the following shows the correct process of solving −4(3+12 superscript 0)+15 superscript 0
by generating an equivalent expression using the Zero Power Rule? (1 point)
Responses

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

Answer 1

To solve the expression \(-4(3 + 12^0) + 15^0\) using the Zero Power Rule, we need to evaluate \(12^0\) and \(15^0\).

According to the Zero Power Rule, any non-zero number raised to the power of 0 equals 1. Therefore:

- \(12^0 = 1\)
- \(15^0 = 1\)

Now we can substitute these values back into the expression:

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

Now we simplify:

1. Calculate \(3 + 1 = 4\):
\[
-4(4) + 1
\]

2. Next, calculate \(-4 \cdot 4 = -16\):
\[
-16 + 1
\]

3. Finally, calculate \(-16 + 1 = -15\).

Therefore, the correct process is:

\(-4(3 + 12^0) + 15^0 = -4(3 + 1) + 1 = -4 \cdot 4 + 1 = -16 + 1 = -15\).

The correct answer from the options provided is:

**−4(3+12 superscript 0)+15 superscript 0=−4(3+1)+1=−4⋅4+1=−16+1=−15**.