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Find the unit digit of \(4^{1024}\).

  • A.2
  • B.4
  • C.6
  • D.8

Answer: C

The unit digits of powers of 4 alternate:

\[ 4,\ 6,\ 4,\ 6,\ \ldots \]

Even exponents end in 6 and odd ones in 4. Since 1024 is even, the unit digit is 6.

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