Simplify the following expression 3^2v*(3x)^3

Simplify the following:
3^2 v (3 x)^3

3^2 = 9:
9 v (3 x)^3

Multiply each exponent in 3 x by 3:
9 v×3^3 x^3

3^3 = 3×3^2:
9×3×3^2 v x^3

3^2 = 9:
9×3×9 v x^3

3×9 = 27:
9×27 v x^3

9×27 = 243:
243 v x^3

Add the cents that add the left overs to get the first number