To solve the expression \(-3^0 + 4.5\), you can follow these steps:
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Evaluate the exponent: Any non-zero number raised to the power of 0 equals 1. Therefore, \(-3^0 = 1\).
\[ -3^0 = 1 \]
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Add the result to 4.5: Now, you add the result of the exponentiation to 4.5.
\[ 1 + 4.5 = 5.5 \]
So, the final result of the expression \(-3^0 + 4.5\) is:
\[ \boxed{5.5} \]