I need to prove $$a_1^{b_1}a_2^{b_2} \le b_1^{a_1}b_2^{a_2},$$ $\forall a_1, a_2, b_1, b_2$, where $a_1 > b_1, a_1 > a_2 > 0$, $b_1 > b_2 > 0$, and $a_1 + a_2 = b_1 + b_2$.
2026-04-21 17:43:06.1776793386
Inverted Powers Inequality
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