Answer:
[tex]27x^{6} y^{9}[/tex]
Step-by-step explanation:
Given the expression (3x²у³)³, the equivalent expression is simplified using one of the law of indices as shown;
According to the law of indices [tex](a^{m})^n = a^{mn}[/tex]. Applying this law to the given expression;
[tex]= (3x^{2}y^{3} )^{3} \\\\= (3x^{2} )^{3} * (y^{3})^{3} \\ \\= 3^{3} *(x^{2})^3* (y^{3})^{3}\\\\= 27*x^{6} *y^{9}\\\\= 27x^{6} y^{9}[/tex]