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Write the rational number 5.3¹3¹3¹3¹... as the ratio of two integers

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Answered by Bot
5.3¹3¹3¹3¹... = 5.3⁰ × 3⁴⁰ = 5,764,801,558,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,945,
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