Simple logarithms #1

Algebra Level 2

For $a, b \in \mathbb{R}^+$ and $>1$ ,

$\Huge { \color{#D61F06}{a} }^{ \sqrt { \log _{ \color{#D61F06}{a} }{ \color{#3D99F6}{b} } } }-{ \color{#3D99F6}{b} }^{ \sqrt { \log _{ \color{#3D99F6}{b} }{ \color{#D61F06}{a}} } }= \ ?$