This work brings natural numbers from 0 to 11111 written in terms of 0 to 9 in such a way that both expoents and bases are of same digits, from 0 to 9, but with permutable powers. See below some examples and link for download the complete work.
Link for download: 1-50000
1. Equal Length Strings – 1-11111;
2. Inder J. Taneja. (2019). All Digits Flexible Power Representations of Natural Numbers From 11112 to 30000, Zenodo, Open Access, , January 14, 2019, pp. 1-140, http://doi.org/10.5281/zenodo.2539203.
3. Inder J. Taneja. (2019). All Digits Flexible Power Representations of Natural Numbers From 30001 to 50000, Zenodo, Open Access, , January 14, 2019, pp. 1-147, http://doi.org/10.5281/zenodo.2539412.
Numbers Magic 
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