Răspuns:
[tex]a^{5}b^{11}[/tex]
Explicație pas cu pas:
[tex]\displaystyle a^9b^3\cdot \left(\frac{b^4}{a^2}\right)^2 = a^9b^3\cdot \frac{\left(b^4\right)^2}{\left(a^2\right)^2} = a^9b^3\cdot \frac{b^{4\cdot 2}}{a^{2\cdot 2}} =[/tex]
[tex]\displaystyle =a^9b^3\cdot \frac{b^8}{a^4} = \frac{a^9}{a^4}\cdot b^3\cdot b^8 = a^{9-4}\cdot b^{3+8} =[/tex]
[tex]= \boxed{a^{5}b^{11}}[/tex]
