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N is an integer whose representation in base b is 777. Find the smallest positive integer b for which N is the fourth power of an integer. 

 Jul 5, 2020
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The base b of 777 = 18. So N =18^2 * 7 + 18^1 * 7 + 18^0 * 7 =2401 in base 10.

 

2401^(1/4) = 7 - The smallest positive integer b

 Jul 5, 2020

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