Track / Stage 4 / 46 of 340 #306 of 1964

10. 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. Spacing, $ signs and \frac vs / are all fine.

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Official solution

25

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.