Track / Stage 4 / 82 of 340 #342 of 1964

Given positive numbers $a, b$ satisfy $b=5a$, and $a^{b}=b^{a}$, then $a^{8}=$

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A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

25

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.