Question

Which of the following shows the correct process of solving -3^0 + 4.5?

A. -3^0 + 4.5 = -1 x 3^0 + 4.5 = -1 + 4.5 = -1 + 4.5 = 3.5
B. -3^0 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5
C. -3^0 + 4.5 = -3 x 0 + 4.5 = 0 + 4.5 = 4.5
D. -3^0 + 4.5 = -3 + 4.5 = 1.5

Answer 1

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

1. **Calculate \(3^0\)**: Any non-zero number raised to the power of 0 is 1, so \(3^0 = 1\).
2. **Substitute back into the expression**: Thus, \(-3^0\) is \(-1\) (since it's negative one times \(3^0\)), so we have:
\[
-3^0 + 4.5 = -1 + 4.5
\]
3. **Perform the addition**: Now, \(-1 + 4.5 = 3.5\).

Thus, the correct interpretation is:
\[
-3^0 + 4.5 = -1 + 4.5 = 3.5
\]

Now let's examine the options:
- **A**: is correct as it correctly evaluates to \(3.5\).
- **B**: is incorrect because it misinterprets \(-3^0\) as \((-3)^0\).
- **C**: is incorrect as it misrepresents the operation completely.
- **D**: is incorrect since it does not correctly evaluate the expression.

Therefore, the correct process is represented by option **A**.