How many different numbers between 1/1000 and 1000 can be written either as a power of 2 or as a power of \(5\), where the exponent is an integer?
1 - Powers of 2: 2^-9, 2^-8, 2^-7, 2^-6, 2^-5, 2^-4, 2^-3, 2^-2, 2^-1, 2^0, 2^1, 2^2, 2^3, 2^4, 2^5 2^6, 2^7, 2^8 and 2^9 ==Total 19 powers of 2.
2 - Powers of 5: 5^-4, 5^-3, 5^-2, 5^-1, 5^0, 5^1, 5^2, 5^3, and 5^4==Total 9 powers of 5
3 - Total powers of 2 + powers of 5 ==19 + 9==28
