To simplify the ratio 5x10^-1 : 2 : 3x10^-10, we need to find the common factor that can be used to divide all the terms in the ratio.
One approach is to convert all the terms to the same power of 10. We can do this by multiplying the first term by 10^9 and the third term by 10^9:
5x10^-1 : 2 : 3x10^-10
= (5x10^9 x 10^-10) : (2 x 10^9) : (3 x 10^-1 x 10^9)
= 5 : 2 x 10^1 : 3 x 10^-1
Now we can see that the common factor is 5. We can divide all the terms by 5 to get the simplified ratio:
5 : 2 x 10^1 : 3 x 10^-1
= 1 : 4 : 0.6
Therefore, the simplified ratio of 5x10^-1 : 2 : 3x10^-10 is 1 : 4 : 0.6.