12th12^\text{th} Root

Algebra Level 3

If 118139852812\sqrt [ 12 ]{ \dfrac { 1 }{ 181398528 } } can be written as A12B\dfrac { \sqrt [ 12 ]{ A } }{ B }, where AA and BB are positive integer, find the minimum value of A+BA+B.

This problem was created by José Carlos Pereira

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