Which of the following shows the correct process of solving -3^0+4.5?

1 answer

To solve the expression \(-3^0 + 4.5\), we follow the order of operations:

  1. 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, \(-3^0 = -1\).

  2. Add 4.5: Now we substitute \(-3^0\) in the original expression:

    \(-1 + 4.5\)

  3. Perform the addition: \(-1 + 4.5 = 3.5\).

So, the final result is:

\[ -3^0 + 4.5 = 3.5 \]