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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