Answer:
[tex]2a^4b^6[/tex]
Step-by-step explanation:
[tex]a^2(ab^3)^2+b^2(a^2b^2)^2\\\\=a^2(a^2b^{2*3})+b^2(a^{2*2}b^{2*2})\\\\=a^2(a^2b^6)+b^2(a^4b^4)\\\\=a^{2+2}b^6+a^4b^{4+2}\\\\=a^4b^6+a^4b^6\\\\=2a^4b^6[/tex]