What is the last digit? (1^1) + (2^2 + (3^3) + (4^4) +.......+((10^100)^(10^100))

[locha]

(1^1) + (2^2 + (3^3) + (4^4) +.......+((10^100)^(10^100))
What is the last digit of the result of this addition operation?
have a formula?

 

[stapel]

(1^1) + (2^2 + (3^3) + (4^4) +.......+((10^100)^(10^100))
What is the last digit of the result of this addition operation?
have a formula?

What tools, formulas, or techniques have they given you in your arithmetic class? Please be complete. Thank you! :wink: