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Let $a= 2^{25}$, $b= 8^8$ and $c= 3^{11}$.

Now order the letters so that we get ${?}< {?}< {?}$

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*