Copyright © University of Cambridge. All rights reserved.

'Tenth Power' printed from

Show menu

See all short problems arranged by curriculum topic in the short problems collection

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.