Simply:- (7)-1 × (7)^3k+2 = (7)^15 ÷ (7)^8
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Step-by-step explanation:
(7)^-1*(7)^3k+2=(7)^15/(7)^8
(a^m/a^n)=a^m-n
7^15/7^8=7^15-8
=7^7
a^m*a^n=a^m+n
7^-1*7^3k+2=7^-1+3k+2
7^3k+1
then
7^3k+1=7^7
bases are equal
3k+1=7
3k=7-1
3k=6
k=6/3
k=2
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