29. Let b, k and m be positive integers that satisfygcd(b, m) = 1andgcd(k, (m)) = 1,where o(m) is the Euler's Phi function. Prove the uniqueness of the k-th rootof b modulo m.

Name: 29. Let b, k and m be positive integers that satisfygcd(b, m) = 1andg
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Description: 29. Let b, k and m be positive integers that satisfygcd(b, m) = 1andgcd(k, (m)) = 1,where o(m) is the Euler's Phi function. Prove the uniqueness of the k-th rootof b modulo m.

Here GCD(b,m)=1 means they are coprime.

Answered: . Let b, k and m be positive integers…

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. Let b, k and m be positive integers that satisfy gcd(b, m) = 1 and gcd(k, ø(m)) = 1, %3D where o(m) is the Euler's Phi function. Prove the uniqueness of the k-th root of b modulo m.