Question 283063
First, simplify the left.

{{{(3x^n)^3 * (3x)^(n-6) = (3^(3+n-6))*x^(3n+n-6)=3^(n-3)*x^(4n-6) }}}

So, we want 2=4n-6.
This implies n=2.

If n=2, a=3^(-1)=1/3.

IE {{{ (1/3)(x^2) }}}