Question

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

• -3°+45= -1.3^O+4.5= -1.1+4.5=-1+4.5=3.5
• -3° + 4.5 = -3 + 4.5 = 1.5
• -3^0 + 4.5 = (-3)° +4.5 = 1 + 4.5 = 5.5
• -3^0+45=-3•0+4.5=0+4.5=4.5

Answer 1

Let's break down the expression \(-3^0 + 4.5\):

1. According to the rules of exponents, any non-zero number raised to the power of \(0\) is \(1\). So, \(-3^0\) is actually:
\[
-3^0 = -1
\]
(Note: The negative sign applies only to the base, not to the exponent.)

2. Therefore, we can simplify this to:
\[
-3^0 + 4.5 = -1 + 4.5
\]

3. Now, calculating \(-1 + 4.5\):
\[
-1 + 4.5 = 3.5
\]

Now let's look at the options provided:

1. **-3°+45= -1.3^O+4.5= -1.1+4.5=-1+4.5=3.5** (This one tries to convey the right computation but is written incorrectly.)
2. **-3° + 4.5 = -3 + 4.5 = 1.5** (Incorrect as it misunderstands the exponent.)
3. **-3^0 + 4.5 = (-3)° +4.5 = 1 + 4.5 = 5.5** (Incorrect, it treats the exponent incorrectly.)
4. **-3^0+45=-3•0+4.5=0+4.5=4.5** (Incorrect as it miscalculates the exponent.)

The first option is closest, despite a messy presentation, as it attempts to show the correct value ending with \(3.5\).

So, the correct answer based on the calculations I provided would be:

**-3^0 + 4.5 = -1 + 4.5 = 3.5.**