If m, n, p, q are integers, n > 0, q > 0, and r = m/n = p/q, prove that

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 51RE
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Exercise 1.6 Fix b > 1.
(a) If m, n, p, q are integers, n > 0, q > 0, and r = m/n = p/q, prove that
%3D
(bm)!/n = ()/9.
Hence it makes sense to define b* = (bm)1/n.
(b) Prove that b"+s = 6"bs if r and s are rational.
%3D
Transcribed Image Text:Exercise 1.6 Fix b > 1. (a) If m, n, p, q are integers, n > 0, q > 0, and r = m/n = p/q, prove that %3D (bm)!/n = ()/9. Hence it makes sense to define b* = (bm)1/n. (b) Prove that b"+s = 6"bs if r and s are rational. %3D
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