To solve the expression \(-3^0 + 4.5\), we follow the order of operations:
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Evaluate the exponent: \(-3^0\) means we take the base 3 (since exponentiation binds tighter than negation) and apply the exponent 0. Any non-zero number raised to the power of 0 is 1. Therefore, \(3^0 = 1\).
So, \(-3^0 = -1\).
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Add 4.5: Now we substitute \(-3^0\) in the original expression:
\(-1 + 4.5\)
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Perform the addition: \(-1 + 4.5 = 3.5\).
So, the final result is:
\[ -3^0 + 4.5 = 3.5 \]