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

1 answer

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:

\[ −3^0+4.5=−1⋅3^0+4.5=−1⋅1+4.5=−1+4.5=3.5 \]