Question: how do I solve A^B=AB where A and B are equal digits and AB is not A*B

How do I get maple to solve A=BA, where AB is a two digit number and not multiplied together.  like 5=25.  Or for something more complex like A=BCA   5=125.  Can we get maple to show other possible solutions?

What I want to do is have Maple solve a set of operations where the answer is a multiple of the digits in the same order.  So something like A+B+C=ABC  or  B*A-C=BAC  etc...

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