Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\begin{aligned}&\frac{{27}^{3}{({x}^{2})}^{3}}{\\&{(3x)}^{3}}\end{aligned}\]
Simplify \({27}^{3}\) to \(19683\).
\[\begin{aligned}&\frac{19683{({x}^{2})}^{3}}{\\&{(3x)}^{3}}\end{aligned}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\begin{aligned}&\frac{19683{x}^{6}}{\\&{(3x)}^{3}}\end{aligned}\]
(19683*x^6)/;(3*x)^3
