Is It Obvious?

Algebra Level 2

True or False?

\quad If a,b,\color{#D61F06}{a},\color{#3D99F6}{b}, and c\color{#20A900}{c} are non-zero reals and a>b,\color{#D61F06}{a}>\color{#3D99F6}{b}, then ac>bc. \color{#D61F06}{a}^{\color{#20A900}{c}} > \color{#3D99F6}{b}^{\color{#20A900}{c}}.

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