1.

\( 5^{100} \) को 13 से भाग देने पर शेष क्या होगा?

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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