SOLUTION: The number of digits in the expansion of 256^39 x 3125^62 is?

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Question 1129381: The number of digits in the expansion of 256^39 x 3125^62 is?
Answer by ikleyn(52931) About Me  (Show Source):
You can put this solution on YOUR website!
.
256 = 2^8;

3125 = 5^5.


So,  256%5E39.3125%5E62 = 2%5E%288%2A39%29.5%5E%285%2A62%29 = 2%5E312%2A5%5E310 = 4%2A%282%5E310%2A5%5E310%29 = 4%2A10%5E310.


The first digit of this number is 4 followed with 310 zeroes.


The number of digits is 311, in all.