Exponential A.P

\[\Huge {\color{blue}9}^{{\color{green}8}^{{\color{red}7}^{{\color{brown}6}^{{\color{indigo}5}^{{\color {magenta}4}^{{\color{grey}3}^{{\color{violet}2}^{\color{pink}1}}}}}}}}\]

Find the last three digits of the number above.

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