# Inspired by Nihar Mahajan

Algebra Level 2

$\Large \color{#D61F06}{a}^{\color{#20A900}{c}} > \color{#3D99F6}{b}^{\color{#20A900}{c}}$

Given that $\color{#D61F06}{a},$ $\color{#3D99F6}{b},$ and $\color{#20A900}{c}$ are real numbers such that

• $\color{#D61F06}{a} \color{#3D99F6}{b} > 0$.
• $\color{#20A900}{c} > 0$.
• $\color{#20A900}{c}$ is not an even integer.
• $\color{#D61F06}{a} > \color{#3D99F6}{b}$.

What can be said about the very first statement above?

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