Questions: What is (-1)^5 ? A. i B. -1 C. 1 D. -i

What is (-1)^5 ?
A. i
B. -1
C. 1
D. -i
Transcript text: What is $(-1)^{5}$ ? A. $i$ B. -1 C. 1 D. $-i$
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Solution

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Solution Steps

To solve the problem of finding \((-1)^5\), we need to understand that raising a negative number to an odd power results in a negative number. Specifically, \((-1)\) raised to any odd power will always be \(-1\).

Step 1: Understanding the Expression

We need to evaluate the expression \((-1)^5\). This involves raising \(-1\) to the power of \(5\).

Step 2: Evaluating the Power

Since \(5\) is an odd integer, we know that \((-1)\) raised to any odd power results in \(-1\). Therefore, we can conclude that: \[ (-1)^5 = -1 \]

Final Answer

The answer is \(\boxed{-1}\).

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