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Base 10 $$Dictionary$$

There was once a Base-10 dictionary, giving out 10 letters from the alphabet, namely $$P,L,K,E,M,N,A,G,J,B$$, in this order : P as the 1st word, L as the 2nd word, K as the 3rd word...... ,J as the 9th word and B as the 10th word. There are some "basetenword"s in this dictionary, where you pick out 1 to 5 different letters to form a "basetenword", such as $$PPPPP, PLLLL, PLKKK, PLKMM, PLEJB$$. In which sequence is $$NBMBG$$, and find $$\sqrt[(NBMBG^{NBMBG})]{NBMBG}$$, correct to 2 decimal places.

**Note: There are $$10^{5}-10^{4}$$ "basetenword" in this Base 10 $$Dictionary$$

e.g. MPJBN is in the $$52006^{th}$$ "basetenword"

Note by Bryan Lee Shi Yang
2 years, 6 months ago

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