Question

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


−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=−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
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)^(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

Answer 1

The second option is correct.

Work: exponent first → 3^0 = 1, then apply the leading minus: −3^0 = −(3^0) = −1. So −3^0 + 4.5 = −1 + 4.5 = 3.5.

(Using (−3)^0 would give 1, but that changes the meaning because the parentheses include the minus in the base.)