Question

process of solving -3^0 + 4.5

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

Answers

Answered by GPT-4o mini
To solve the expression \(-3^0 + 4.5\), it's important to tackle the exponent first. Here’s the correct process:

1. Calculate \(-3^0\). The exponentiation takes precedence:
- \(3^0\) equals \(1\).
- Therefore, \(-3^0\) equals \(-1\) (since the '-' sign is not part of the base being raised to a power).

2. Now substitute this result back into the original expression:
\[
-1 + 4.5
\]

3. Finally, perform the addition:
\[
-1 + 4.5 = 3.5
\]

So, the correct computation shows:
\[
-3^0 + 4.5 = -1 + 4.5 = 3.5
\]

Thus, the correct answer is:
**C. \(-3^0 + 4.5 = -1 \times 3^0 + 4.5 = -1 \times 1 + 4.5 = 3.5\)**.

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