Problem
NT-B2-M06-P002 Sevens
#2
★★☆☆☆ Level 2 of 5
Find \(v_7(8^{100}-1)\).
\(7\mid8-1\).
By LTE, \(v_7(8^{100}-1)=v_7(7)+v_7(100)=1+0=1\).
Shows that a large exponent does not always give a large prime power.