4 = 161/2
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0.16 expressed as a fraction = 4/250.16 = 0.16 * 100/100 = 16/100 or 4/25 in fraction in lowest term
In this case, trial and error is probably the easiest: 22 = 4, 23 = 8, 24 = 16 yes! A more genral answer is: the power that you want is log(16)/log(2) where the logarithm is calculated to any base (10 or e , or indeed any other).
1/8 can be expressed as 2/16 1/4 can be expressed as 4/16 A fraction between 2/16 and 4/16 is 3/16
16^4 = 65,536
6.4125 x 10^4