\(\frac{\left(-3\right)^n}{81}=-27\Leftrightarrow\left(-3\right)^n=-27.81=-2187=\left(-3\right)^7\Rightarrow n=7\)
\(\frac{\left(-3\right)^n}{81}=-27\)
=> \(\left(-3\right)^n=81.\left(-27\right)\)
=>\(\left(-3\right)^n=-2187\)
=> \(\left(-3\right)^n=\left(-3\right)^7\)
=>\(n=7\)