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hampton inn manhattan downtown financial district new york ny - IQnection

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 What is the smallest positive integer whose fourth power ends in the digits 0625?

📌 First, observe that 0625 ends in 625. We know:

📌 But we also need the original expression:

📌 Is there a smaller positive integer?

📌 But is 625 considered to end in 0625? The last four digits of 625 are ...0625 — yes, it is 0625 when padded to four digits.

📌 But is 0625 the last four digits? Yes — 625 is 0625 when written with leading zeros. In mathematics, this is standard.

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