Question
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Tutor-Verified Answer
Answer
The answer is -1.
Solution
To evaluate (-1)⁵, notice that an odd number of -1 multiplications will yield -1. Specifically:
(-1)⁵ = (-1) × (-1) × (-1) × (-1) × (-1) = -1.
Thus, the answer is -1.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
The evaluation of \( (-1)^{5} \) is quite simple! When you raise -1 to an odd exponent, the result remains -1. So, \( (-1)^{5} = -1 \). It’s like a game of hot and cold—odd powers keep it chilly and negative, while even powers warm it up and turn it positive! If you ever wonder about the pattern, just remember: Raising -1 to any odd power will always result in -1, while raising it to an even power will yield 1. It's a nifty little trick to remember for future calculations!