Simplifying the expression.
[ 9^(−1/2) * 3^3 + 27^(1/3) ] / [ (1/3)^(−3) + (1/9)^(1/2) ] =
[ 1/3 * 3^3 + 3] / [ 27 + 1/3] =
[ 9 + 3 ] / [ 82 / 3 ] =
[12* 3] / 82 =
36 / 82 =
18/41