This sequence is based on a decreasing exponent and increasing base. 64 is 2^6, 243 is 3^5, 256 is 4^4 and 125 is 5^3. The next number is then 6^2 or 36.
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64 243 256 125 ?
125
So the pattern would be 0 up to the 8 which equals 0. Next would be 1 up to the 7th which equals 1. Next the sequence would be 2 up to the 6th which equals 64, 3 up to the th5 which equals 243, 4 up to the 4th which equals 256, 5 up to the 3rd equals 125, 6 up to the 2nd equals 36, 7 up to the 1st equals 7, and 8 up to the 0 equals 1.
Yes. There are no common divisors other than 1.
2.048 = 2 48/1000 (NB '1000' because there are three decimal places). Cancel down 2 24/500 = 2 12/250 = 2 6/125 as a fraction. As an Improper Fraction it is 256/125
0.256 = 256/1000 = 32/125 (in its lowest term)