simplify the equation [tex] (3mn)^{2} \times (3m ^{3} n)^{4} [/tex]

Answer:
The expression becomes;
[tex]216s^{15}t^{18}[/tex]Explanation:
Simplify the expression;
[tex](6s^5t^6)^3[/tex]Applying the laws of indices;
Power of power rule;
[tex](a^m)^n=a^{mn}[/tex]The expression becomes;
[tex]\begin{gathered} (6s^5t^6)^3 \\ =(6)^3(s^5)^3(t^6)^3 \\ =6^3s^{5(3)}t^{6(3)} \\ =6^3s^{15}t^{18} \end{gathered}[/tex]Therefore, the expression becomes;
[tex]216s^{15}t^{18}[/tex]