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The exponent can only be found in the context of a base. But there is no base specified and so there can be no clear answer.On possible answer is that 262144 = 512^2 so, with the base 512, the exponent is 2.
2 divide by 512 = 0.00390625
How about: 2 to the power of 9 = 512
Resulation means pixel per inch either row side or column side, so row side= 512/2=256 or column side 512/2=256.
85 with 2 remaining 512 - 2 = 510 = 6 x 85