Question #198631

Find p-adic norm of |6|_3


1
Expert's answer
2021-05-26T14:08:26-0400

The pp-adic norm of a rational number ab=pαab\frac{a}{b}=p^\alpha\frac{a'}{b'} where pa,bp\nmid a', b' is given by pαp^{-\alpha}. As 6=3×26=3\times 2 and 33 does not divide 22, we have 63=31=1/3|6|_3=3^{-1}=1/3 .


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Comments

Assignment Expert
01.07.21, 00:31

Dear smi, please use the panel for submitting a new question.


smi
26.05.21, 21:34

Find p-adic norm of |137|_2

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