Question
Which of the following shows the correct process of solving −3^0+4.5
−
3
0
+
4.5
?(1 point)
Responses
−3^0+4.5=−1⋅3^0+4.5=−1⋅1+4.5=−1+4.5=3.5
−
3
0
+
4.5
=
−
1
⋅
3
0
+
4.5
=
−
1
⋅
1
+
4.5
=
−
1
+
4.5
=
3.5
negative 3 superscript 0 baseline plus 4.5 equals negative 1 times 3 superscript 0 baseline plus 4.5 equals negative 1 dot 1 plus 4.5 equals negative 1 plus 4.5 equals 3.5
−3^0+4.5=−3⋅0+4.5=0+4.5=4.5
−
3
0
+
4.5
=
−
3
⋅
0
+
4.5
=
0
+
4.5
=
4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5
−3^0+4.5=−3+4.5=1.5
−
3
0
+
4.5
=
−
3
+
4.5
=
1.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5
−3^0+4.5=(−3)0+4.5=1+4.5=5.5
−
3
0
+
4.5
?(1 point)
Responses
−3^0+4.5=−1⋅3^0+4.5=−1⋅1+4.5=−1+4.5=3.5
−
3
0
+
4.5
=
−
1
⋅
3
0
+
4.5
=
−
1
⋅
1
+
4.5
=
−
1
+
4.5
=
3.5
negative 3 superscript 0 baseline plus 4.5 equals negative 1 times 3 superscript 0 baseline plus 4.5 equals negative 1 dot 1 plus 4.5 equals negative 1 plus 4.5 equals 3.5
−3^0+4.5=−3⋅0+4.5=0+4.5=4.5
−
3
0
+
4.5
=
−
3
⋅
0
+
4.5
=
0
+
4.5
=
4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5
−3^0+4.5=−3+4.5=1.5
−
3
0
+
4.5
=
−
3
+
4.5
=
1.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5
−3^0+4.5=(−3)0+4.5=1+4.5=5.5
Answers
GPT-4o mini
To solve the expression \(-3^0 + 4.5\), we need to evaluate \(3^0\) first.
The correct steps are:
1. **Evaluate \(3^0\)**:
\[
3^0 = 1
\]
2. **Substitute back into the expression**:
\[
-3^0 + 4.5 = -1 + 4.5
\]
3. **Complete the addition**:
\[
-1 + 4.5 = 3.5
\]
So, the correct process is:
\[
-3^0 + 4.5 = -1 \cdot 3^0 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5
\]
Thus, the first option you provided is correct:
\[
−3^0+4.5=−1⋅3^0+4.5=−1⋅1+4.5=−1+4.5=3.5
\]
The correct steps are:
1. **Evaluate \(3^0\)**:
\[
3^0 = 1
\]
2. **Substitute back into the expression**:
\[
-3^0 + 4.5 = -1 + 4.5
\]
3. **Complete the addition**:
\[
-1 + 4.5 = 3.5
\]
So, the correct process is:
\[
-3^0 + 4.5 = -1 \cdot 3^0 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5
\]
Thus, the first option you provided is correct:
\[
−3^0+4.5=−1⋅3^0+4.5=−1⋅1+4.5=−1+4.5=3.5
\]