Copyright © University of Cambridge. All rights reserved.

Which of the following three statements are true?

- $ 3^{10} $ is even,
- $ 3^{10} $ is odd,
- $ 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.**View the archive of all weekly problems grouped by curriculum topic*

View the current weekly problem