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Find How many digits the base ten number 11^(8^5) has written in base eleven

 Feb 21, 2021
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11^(8^5) = 11^(2^15)

 

2^15 = 32768, so we are finding the number of digits of 11^(32768) in base 11. The answer is simply 32768.

 Feb 21, 2021

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