(3^-m)/81=27
=>3^-m=2187 Mà 2187=3^7
=>3^-m=3^7
=>-m = 7
=>m=-7
\(\frac{3^{-m}}{81}=27\)
\(\Rightarrow3^{-m}=27.81\)
\(\Rightarrow3^{-m}=2187\)
Vì nếu k-m thì =>k=\(\frac{1}{k^m}\)
Mà 2187 \(\in\)N
=>ko tìm đc
\(\frac{3^{-m}}{81}=27\)
\(3^{-m}=27.81\)
\(3^{-m}=3^3.3^4\)
\(3^{-m}=3^{3+4}=3^7\)
\(\Rightarrow-m=7\)
\(\Rightarrow m=-7\)
Vậy \(m=-7\)