Which of the following shows the correct process of solving −3^0+4.5 ?(1 point)

Question

Responses

−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

−30+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=−1⋅30+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=1+4.5=5.5

Answer 1

To solve the expression \(-3^0 + 4.5\), we need to evaluate the components carefully.

1. First, calculate \(3^0\). Any non-zero number raised to the power of 0 is \(1\), so \(3^0 = 1\).
2. Therefore, \(-3^0\) is \(-1\) (because it is considered as leading \(-3\) raised to the power \(0\)).
3. Now substitute back into the expression: \(-1 + 4.5\).
4. Now, calculate \(-1 + 4.5 = 3.5\).

So the correct process from the provided responses is:

−3^0 + 4.5 = −1 ⋅ 3^0 + 4.5 = −1 ⋅ 1 + 4.5 = −1 + 4.5 = 3.5

This matches the third option provided.