\(12^\text{th} \) Root

Algebra Level 3

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

This problem was created by José Carlos Pereira

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