17. 92126 ^101^102^103^104^105.......

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When finding remainder modulo 5, only the last digit of the base matters.

• Base = 92126 → last digit = 6.

• Exponent = huge (doesn’t matter how big)

   92126^101^102^103…

= 1 ^ huge number = 1 mod  5

Modulo (mod)

• Modulo (often written as mod) is a mathematical operation that gives the remainder when one number is divided by another.


• In simple words: A mod  B = remainder when A is divided by B

92126 mod 5

• Divide 92126 by 5 → remainder = 1


• So, 92126 mod  5 = 1

Key Points

• Modulo only cares about the remainder, not the quotient.


• Useful for finding last digits, divisibility, or remainders.