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What is the unit digit of \(7^{4}\)?

  • A.7
  • B.9
  • C.3
  • D.1

Answer: D

The unit digits of powers of 7 cycle with period 4:

\[ 7,\ 9,\ 3,\ 1 \]

The fourth power lands on the last of the cycle, so the unit digit is 1. Indeed \( 7^{4} = 2401 \).

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