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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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