Question

evaluate.
(-1)^5 =
your answer:
-1
change my answer

Explanation:

Step1: Recall the rule of exponents for negative numbers

When a negative number is raised to an odd power, the result is negative. The formula for \((-a)^n\) where \(n\) is odd is \(-a^n\). Here, \(a = 1\) and \(n=5\).

Step2: Calculate \(1^5\) and apply the sign

We know that \(1^5=1\) (since any number to the power of 1 is itself, and \(1\times1\times1\times1\times1 = 1\)). Then, applying the negative sign from the base \(-1\), we get \((-1)^5=-1^5=- 1\).

Answer:

\(-1\)