Answer:
[tex] = 9a^3b^2 [/tex]
Step-by-step explanation:
[tex]\sqrt[3]{-729a^9b^6} =[/tex]
[tex] = ((-9)^3a^9b^6)^{\frac{1}{3} [/tex]
[tex]= (-9)^{3 \times \frac{1}{3}} \times a^{9 \times \frac{1}{3}} \times b^{6 \times \frac{1}{3}}[/tex]
[tex] = (-9)^{1} \times a^{3} \times b^{2} [/tex]
[tex] = -9a^3b^2 [/tex]
