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Let F(n) = EdP|n®p(d). Show that if F(1) n = pi" ..P"n=p, then F(n) = II" 1 P" 1 and that if n > 1 factors as am m la:/2] m.

Let F(n) = EdP|n®p(d). Show that if F(1) n = pi" ..P"n=p, then F(n) = II" 1 P" 1 and that if n > 1 factors as am m la:/2] m.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Let F(n) = E d²\n®p(d). Show that if F(1) = 1 and that ifn > 1 factors as n = pi .Pm"n=p, then F(n) = II-1 P* la:/2]
Transcribed Image Text:Let F(n) = E d²\n®p(d). Show that if F(1) = 1 and that ifn > 1 factors as n = pi .Pm"n=p, then F(n) = II-1 P* la:/2]
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