Posted 09 September 2007 - 12:59 AM

The ABBA doesn't imply multiplication as variables next to each other usually do. In these types of problems, each letter is assumed to be in position as if base ten numbers had been transposed with different letters of the alphabet. For example: 16 could be represented by AB, FD, UR, LH, etc. but not by AA. The puzzle is asking you which 2-digit multiple of 11, when raised to a single digit power, yields a 4-digit answer whose first and last digits are the same as those in the multiple of 11 and whose middle two digits are the power it was raised to. For example, raising 11 (represented by "AA") to the 2nd power (represented by "B") would give 121 (or "ABA"). We need a four digit answer though, so we need to either choose a higher multiple of 11, a higher power, or both. Happy solving!