Question
Evaluate \( m^{0}-n^{2} \) for \( m=2 \) and \( n=-1 \) -1 0
Ask by Burns Mcguire. in the United States
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is 0.
Solution
Step-by-step:
1. Compute m⁰. Since m = 2, then 2⁰ = 1.
2. Compute n². Since n = -1, then (-1)² = 1.
3. Thus, m⁰ − n² = 1 − 1 = 0.
The answer is 0.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To evaluate \( m^{0} - n^{2} \) for \( m=2 \) and \( n=-1 \), we start by calculating each part separately. First, \( m^{0} \) is equal to 1 for any non-zero \( m \), so \( 2^{0} = 1 \). Next, we calculate \( n^{2} \): \( (-1)^{2} = 1 \). Now we can put it all together: \[ m^{0} - n^{2} = 1 - 1 = 0. \] So, the final answer is \( 0 \).