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What is the remainder when \(7^{700}\) is divided by 100?

Question and options

What is the remainder when 77007^{700} is divided by 100?
  1. 1
  2. 61
  3. 41
  4. 21

Answer and explanation

Correct answer: A - 1
74=24017^4 = 2401, which leaves remainder 1 when divided by 100. 700 is a multiple of 4, so 7700=(74)1757^{700} = (7^4)^{175} leaves remainder 1.

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  • CUSAT CAT LLM

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