SOLUTION: If the product 2352k is a perfect fifth power, what is the smallest possible value of k, where k is a positive integer?

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Question 1014389: If the product 2352k is a perfect fifth power, what is the smallest possible value of k, where k is a positive integer?
Answer by Alan3354(69443) About Me  (Show Source):
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If the product 2352k is a perfect fifth power, what is the smallest possible value of k, where k is a positive integer?
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Hint: 2352+=+2%5E4%2A3%2A7%5E2