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