Which of the following shows the correct process of solving −3⁰+4.5

?(1 point)
Responses

−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

−3⁰+4.5=(−3)⁰+4.5=1+4.5=5.5
negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5

−3⁰=+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=−1⋅3⁰+4.5=−1⋅1+4.5=−1+4.5=3.5

1 answer

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

  1. Evaluate the exponent: Any non-zero number raised to the power of 0 is 1. Therefore, \(-3^0 = 1\) (it's important to note that \(-3^0\) represents \( -(3^0) \), which is still equal to \(-1\)).

So we have: \[ -3^0 + 4.5 = -1 + 4.5 = 3.5 \]

Based on these calculations, the correct representation from the provided choices is:

−3⁰ + 4.5 = −1⋅3⁰ + 4.5 = −1 + 4.5 = 3.5.

This was represented as: −3⁰ + 4.5=−1⋅3⁰+4.5=−1+4.5=3.5.

Thus, the correct answer is the last choice.