SOLUTION: How many digits are in the number represented by the expression 2^5201×5^2560÷8^882?

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Question 1109985: How many digits are in the number represented by the expression 2^5201×5^2560÷8^882?
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
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%282%5E5201%2A5%5E2560%29%2F8%5E882 = %282%5E5201%2A5%5E2560%29%2F2%5E%283%2A882%29 = 2%5E%285201-3%2A882%29%2A5%5E2560 = 2%5E2555%2A5%5E2560 = 10%5E2555%2A5%5E5 = 3125%2A10%5E2555.


This number is 3125 followed by 2555 zeroes.


It has 4 + 2555 = 2559 digits.