Let's break down the expression \(-3^0 + 4.5\):
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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.)
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Therefore, we can simplify this to: \[ -3^0 + 4.5 = -1 + 4.5 \]
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Now, calculating \(-1 + 4.5\): \[ -1 + 4.5 = 3.5 \]
Now let's look at the options provided:
- -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.)
- -3° + 4.5 = -3 + 4.5 = 1.5 (Incorrect as it misunderstands the exponent.)
- -3^0 + 4.5 = (-3)° +4.5 = 1 + 4.5 = 5.5 (Incorrect, it treats the exponent incorrectly.)
- -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.
3 answers