Sign of Odd Power/Corollary
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Corollary to Sign of Odd Power
Let $x \in \R$ be a real number.
Let $n \in \Z$ be an odd integer.
Then:
- $\paren {-x}^n = -\paren {x^n}$
Proof
We have:
- $\size {-x}^n = \size {-\paren {x^n} }$
and the result follows from Sign of Odd Power.
$\blacksquare$