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\( 5^{100} \) को 13 से भाग देने पर शेष क्या होगा? |
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Answer» Remainder when 5 is divided by 13 is 5, Remainder when 52 is divided by 13 is 12, Remainder when 53 ( or 125) is divided by 13 is 8. Remainder when 54 ( or 625) is divided by 13 is 1. ∴ Remainder when (54)n (n∈N) is divided by 13 is 1. ∴ When 5100 = (54)25 is divided by 13 it leaves remainder 1. |
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