Suppose x, n ∈ N and n not equal to 0. Then, show that xnis positive if and only if x is positive. Suppose x,n EN and n + 0. Then, show that x" is positive if and only if x is positive.

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Answered: Supposernc N and n 4 0 Then show that…

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Supposernc N and n 4 0 Then show that rn is positive if and only if r is positive

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.1: Postulates For The Integers (optional)

Problem 32E: 32. Prove that if is positive and is positive, then is positive.

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Suppose x, n ∈ N and n not equal to 0. Then, show that xⁿ
is positive if and only if x is positive.

Suppose x,n EN and n + 0. Then, show that x" is positive if and only if x is positive.

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