How many digits?

Level 1

How many digits are in the result of the expression 100 1 11 1001^{11}


The answer is 34.

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2 solutions

Hamza A
Jun 26, 2016

log ( 100 1 11 ) = 11 log ( 1001 ) 33.005 \log(1001^{11})=11\log(1001)\approx33.005 so 34 \boxed{34} digits

Saurabh Chugh
Mar 11, 2014

Solve using binomial theorem

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