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

Question

Responses

−30+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

−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=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)0+4.5=1+4.5=5.5

Answer 1

To solve the expression $-3^0+4.5$, we use the fact that any non-zero number raised to the power of 0 is 1. The negative sign in front does not apply to the base when calculating the exponent, so we have:

$$-3^0=-1\cdot 3^0=-1\cdot 1=-1$$

Now we can complete the expression:

$$-3^0+4.5=-1+4.5=3.5$$

Thus, the correct process is shown in the first option:

$-3^0+4.5=-1\cdot 3^0+4.5=-1\cdot 1+4.5=-1+4.5=3.5$