Let SF(n) be the squarefree function of n. Hence, SF(1) = 1 and SF(p¹p2²...pr) SF(n). P1P2...Pr. Prove the following: ²(d)o(d) = = d|n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Let SF(n) be the squarefree function of n. Hence, SF(1) =
1 and SF(p¹p2²...pr)
SF(n).
P1P2...Pr. Prove the following: ²(d)o(d) =
=
d|n
Transcribed Image Text:Let SF(n) be the squarefree function of n. Hence, SF(1) = 1 and SF(p¹p2²...pr) SF(n). P1P2...Pr. Prove the following: ²(d)o(d) = = d|n
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