Is It Obvious?

Algebra Level 2

True or False?

$$\quad$$ If $$\color{red}{a},\color{blue}{b},$$ and $$\color{green}{c}$$ are non-zero reals and $$\color{red}{a}>\color{blue}{b},$$ then $$\color{red}{a}^{\color{green}{c}} > \color{blue}{b}^{\color{green}{c}}.$$

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