Question

Which of the following shows the correct process of solving −4(3+12^0)+15^0
−
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(15)+1=−60+1=−59
−
4
(
3
+
12
0
)
+
15
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+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−16+1=−15
−
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
−
4

Answer 1

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

According to the Zero Power Rule, any nonzero number raised to the power of 0 equals 1:
- \(12^0 = 1\)
- \(15^0 = 1\)

Now we can plug these values into the expression:

\[
-4(3+12^0) + 15^0 = -4(3+1) + 1
\]

Now simplify the expression:

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

Continuing, we get:

\[
= -16 + 1 = -15
\]

Thus, the correct process is:

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

So the correct response is:

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