# Colorful Power Sum

Number Theory Level 2

Find the last digit when $\large \color{blue}1^{\color{blue}1} + \color{green}2^{\color{green}2} + \color{purple}3^{ \color{purple}3} + \ldots + \color{red}9^{ \color{red}9} + \color{violet}{10}^{\color{violet}{10}}$ is written out as an integer.

×