Question

Which 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)
Responses

−4(3+12^0)+15^0=−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+12^0)+1560=−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=−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+12^0)+15^0 =−4(15)+15=−60+15=−45

Answer 1

To solve the expression \( -4(3 + 12^0) + 15^0 \) using the Zero Power Rule, we first need to evaluate any terms raised to the power of zero. According to the Zero Power Rule, any non-zero number raised to the power of zero equals 1.

1. Evaluate \( 12^0 = 1 \).
2. Evaluate \( 15^0 = 1 \).

Now, substitute these values back into the expression:
\[
-4(3 + 1) + 1
\]
Simplify inside the parentheses:
\[
-4(4) + 1
\]
Multiply:
\[
-16 + 1
\]
Finally, combine the terms:
\[
-15
\]

The correct process is found in the response:
\[
−4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−16+1=−15
\]

So the final answer is \( -15 \).