Today is Sunday. What day is it in the second power of 1996 Use arithmetic instead of equations and things you don't have

Today is Sunday. What day is it in the second power of 1996 Use arithmetic instead of equations and things you don't have

By Fermat theorem
2^6≡1(mod7)
Take both sides to the power of 332
2^1992≡1(mod7)
2 ^ 4 on both sides
2^1992≡16≡2(mod7)
So the remainder is two, it's Tuesday