Suppose that m andn are positive integers and b is a real number so that the principal n" root of b exists. In general, does (bi) = (b")f? Explain how you know. %3D

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 33E: Use the fact that 3 is a prime to prove that there do not exist nonzero integers a and b such that...
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Suppose that m and n are positive integers and b is a real number so that the principal nh root of b exists.
In general, does
(b) = (b")ĥ ? Explain how you know.
Transcribed Image Text:Suppose that m and n are positive integers and b is a real number so that the principal nh root of b exists. In general, does (b) = (b")ĥ ? Explain how you know.
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