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Quiz for Today(10/1/2014 )

If we denote the power of a number by double asterisks (**), then we have 3**1 = 3, 3**2 = 9, 3**3 = 27, 3**4 = 81 etc. What will be the remainder of (3**1000) / 7? Do not even think about calculating out that big number then divide it by 7. There must be a better way!