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Question Number 31868 by 6123 last updated on 16/Mar/18

$L e t a > b > 1 b e p o s i t i v e i n t e g e r s w i t h b o d d .$ $L e t n b e a p o s i t i v e i n t e g e r a s w e l l . I f b^{n} d i v i d e s$ $a^{n} - 1, p r o v e t h a t a^{b} > \frac{3^{n}}{n} .$ $S o l u t i o n p l e a s e . T h a n k s i n a d v a n c e!!$
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