Question
What is the remainder when 7100 is divided by
100?Solution
ATQ, We work modulo 100. First, note 72 = 49. Then 74 = 492 = 2401 ≡ 1 (mod 100). So 74 ≡ 1 (mod 100). => 7100 = (74)(25) ≡ 125 = 1 (mod 100). Therefore the remainder is 1.
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