What is the answer to
3^46=____ (mod 8) ?
You can also do it on the web2 calc (it is on the Home page)
Mod(3^46,8)
(346)Mod(8)=1
You will find the answer here: http://m.wolframalpha.com/input/?i=solve+3%5E46+mod+8&x=0&y=0
31 = 3 mod 8 = 3 33 = 27 mod 8 = 3 35 = 243 mod 8 = 3
32 = 9 mod 8 = 1 34 = 81 mod 8 = 1 36 = 729 mod 8 = 1
So, if the exponent is even, its mod 8 value is 8 ...
and, if the exponent is add, its mode 8 value is 1 ...