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Tenth Power

Stage: 3 Short Challenge Level: Challenge Level:1

Which of the following three statements are true?

  1. $ 3^{10} $ is even,
  2. $ 3^{10} $ is odd,
  3. $ 3^{10} $ is a square number.


If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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