Problem
NT-B2-M06-P009 The Form \(4^n-1\)
#9
★★★☆☆ Level 3 of 5
Find \(v_3(4^n-1)\).
\(3\mid4-1\).
\(v_3(4^n-1)=v_3(3)+v_3(n)=1+v_3(n)\).
Useful form for \(2^{2n}-1\).