Question

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

−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

−30+4.5=(−3)^0+4.5=1+4.5=5.5

Answer 1

To solve the expression \(-3^0 + 4.5\), we follow the proper order of operations:

1. **Evaluate \( -3^0 \)**:
The expression \(3^0\) evaluates to \(1\) because any non-zero number raised to the power of \(0\) is \(1\). Thus, \( -3^0 = -1\).

2. **Now, add \(4.5\)**:
\(-1 + 4.5 = 3.5\).

So the correct process is:

\[
-3^0 + 4.5 = -1 + 4.5 = 3.5
\]

The corresponding option is:

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