Question

A and b belong to an id. If a^m=b^m and a^n =b^n ,m and n are both positive integers relatively ptime.Prove that a=b

Answer 1

${a}^{m} = {b}^{m} \\ \sqrt[m]{ {a}^{m} } = \sqrt[m]{ {b}^{m} } \\ a = b$
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