Question
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
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
Answers
GPT-4o mini
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**.
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**.