Question

3 to the power n * 9 to the power of n+1 /(3 to the power n-1 * 9 to the power n-1)

Answer 1

So (3^n×9^n+1)/(3^n-1×9^n-1) =3^{n-(n-1)}×9^{n+1-(n-1)} =3^(n-n+1)×9^(n+1-n+1) =3×9^2 =3×81=243