A powerful day

Today is August 27. Which can also be expressed as 8/27 — or 27/8, depending on where you live.

It’s one of the rare days of the year when the month and the day can be written as two different numbers raised to the same power. In contrast, there are quite a few dates in the year that can be written as two different numbers raised to the second power.

But only one day in the year can be written as two different numbers raised to the fourth power. But which one? I will leave that as an exercise for the reader.

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