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