Answer:
[tex]\huge\boxed{(3p^2q^3)^2=9p^4q^6}[/tex]
Step-by-step explanation:
[tex](3p^2q^3)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=3^2(p^2)^2(q^3)^2\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=9p^{(2)(2)}q^{(3)(2)}\\\\=9p^4q^6[/tex]