Question
Find the remainder when 7202 is divided by
100.Solution
ATQ, Note: 7² = 49, 7⁴ = 49² = 2401 ≡ 1 (mod 100). So 7⁴ ≡ 1 (mod 100). 202 = 4×50 + 2 7202 = (7⁴)50 × 7² ≡ 150 × 49 ≡ 49 (mod 100). Remainder = 49.
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