What is 0002 to the 1000 power?

Answer 1

Written in base two its a 1 followed by 1000 zeroes. I doubt anyone will count the zeroes to check. Writing it in base 10 is a colossal waste of time, no one wants to read it, but as I recall there's a repeating pattern to the digits of the powers of a number, and that would be a preferable way to complete the exercise rather than computing the number. That should be enough of a hint to anyone serious about tackling the question. The answer is to state the digit pattern and the number of digits, which you get from log10(2^1000) which is 1000*log10(2)