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

Responses

−3^0+4.5=−3⋅0+4.5=0+4.5=4.5

−3^0+4.5=−1⋅3^0+4.5=−1⋅1+4.5=−1+4.5=3.5

−3^0+4.5=(−3)^0+4.5=1+4.5=5.5

−3^0+4.5=−3+4.5=1.5

1 answer

To solve the expression \(-3^0 + 4.5\), we need to evaluate it step by step:

  1. Evaluate \( -3^0 \): The exponent applies only to the base \(3\), not to \(-3\). Hence, \( 3^0 = 1\). Thus, \(-3^0 = -1\).

  2. Now, substitute this back into the expression: \(-1 + 4.5\).

  3. Finally, perform the addition: \(-1 + 4.5 = 3.5\).

So, the correct response that shows the right process is:

−3^0+4.5=−1⋅3^0+4.5=−1⋅1+4.5=−1+4.5=3.5.