State whether the following statement is true or false:
$(-1)^{11} = -1$
$(-1)^{11} = -1$
(A) The statement is True.
When a negative number is raised to an odd power,the result is negative.
Since $11$ is an odd number,$(-1)^{11} = -1 \times -1 \times ... \times -1$ ($11$ times) $= -1$.
When a negative number is raised to an odd power,the result is negative.
Since $11$ is an odd number,$(-1)^{11} = -1 \times -1 \times ... \times -1$ ($11$ times) $= -1$.
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