If today is Sunday, do you know what day is the 2012 power of 2? What about the 2013 power of 3? Ask for advice
Because 2 ^ 2012 = 2 ^ 2010x4 = 8 ^ 670x4 ≡ 4 ()
So it's Thursday
Because 3 ^ 2013 = 9 ^ 1006x3 ≡ 2 ^ 1006x3 ≡ 8 ^ 335x6 ≡ 6 ()
So it's Saturday