Suppose a b, and n = Zwith n > 0. a. Prove that a 2n +...

 

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Suppose a b, and n = Zwith n > 0. a. Prove that a 2n + bn is divisible by 9 iff a and b are both divisible by 3. b. Prove that it not true that a2n + bn is divisible by 27 iff a and b are both divisible by 3. Suppose a b, and n = Zwith n > 0. a. Prove that a 2n + bn is divisible by 9 iff a and b are both divisible by 3. b. Prove that it not true that a2n + bn is divisible by 27 iff a and b are both divisible by 3.

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a To prove that a 62n is divisible by 9 if and only if a and b are both divisible by 3 we can use th... View the full answer