2.5*1000
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The index or the exponent - but only if it is a non-negative integer.
Yes (when the power is a positive integer). It is possible to have powers that are negative, rational, irrational and even complex and there are similar rules for dealing with them.
The number of bits in an integer is the number of times you can divide the integer by 2, truncating each result, before you reach zero.
Yes, and also a negative integer divided by a negative integer is equal to a positive number (but not necessarily an integer).
There can be no such integers: a smaller integer cannot be 5 times the larger number.