2218 /www/nrich/html/content/04/weekly/prob18/ 1 2011-02-01T00:00:01 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <p>Which of the following three statements are true?</p> <ol> <li>$ 3^{10} $ is even,</li> <li>$ 3^{10} $ is odd,</li> <li>$ 3^{10} $ is a square number.</li> </ol> <p> </p> <p>If you liked this problem, <a href="http://nrich.maths.org/847">here is an NRICH task</a> which challenges you to use similar mathematical ideas.</p></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <p>3 is odd and the product of two odd numbers is always odd therefore (2) is true which means that it is also a perfect square so (3) is also true.</p> <br></br></mdoxml> 2 3 0 0 0 0 0 Weekly Problem 48 - 2011