Respuesta :

mathstudent55

Answer:

[tex] 729x^6y^6 [/tex]

Step-by-step explanation:

[tex] (3^{-2}x^{-2}y^{-2})^{-3} = [/tex]

[tex] 3^{-2\times (-3)}x^{-2\times (-3)}y^{-2\times (-3)} = [/tex]

[tex] = 3^6x^6y^6 [/tex]

[tex] = 729x^6y^6 [/tex]

gmany

[tex]\text{Use:}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\(3^{-2}x^{-2}y^{-2})^{-3}=(3^{-2})^{-3}(x^{-2})^{-3}(y^{-2})^{-3}\\\\=3^{(-2)(-3)}x^{(-2)(-3)}y^{(-2)(-3)}=3^6x^6y^6\\\\=\boxed{729x^6y^6\to C)}[/tex]