Question #198638

Find p-adic norm of |3/4|_2


1
Expert's answer
2021-05-26T14:11:41-0400

The p-adic norm of xx :

xp=pa|x|_p=p^{-a}

where pp is a prime number, aa is a unique integer.

Then:

34=322\frac{3}{4}=3\cdot2^{-2}


342=22=4|\frac{3}{4}|_2=2^2=4


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