# $$12^\text{th}$$ 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

×