Write the value of the expression:
${(- 1)}^{21}$

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Solution

Use the concepts of even and odd power of negative number
Given the expression is ${(- 1)}^{21}$ as we see the power is $21$ .
We know that if $n$ is even, then
$- 1^{n} = 1$
And if $n$ is odd, then
$- 1^{n} = - 1$
As $21$ is odd number
$∴ {(- 1)}^{21} = - 1$
Thus, the value of ${(- 1)}^{21}$ is $- 1$ .

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