Answer:
[tex] 3^{12} [/tex]
Step-by-step explanation:
[tex] \dfrac{(3^5)^2}{3^{-2}} = [/tex]
[tex] = \dfrac{3^{10}}{3^{-2}} [/tex]
[tex]= 3^{10-(-2)}[/tex]
[tex] = 3^{10 + 2} [/tex]
[tex] = 3^{12} [/tex]
[tex]3^{12}[/tex]
[tex]\frac{(3^5)^2}{3^{-2}} \\=\frac{3^{(5*2)}}{3^{-2}} \\=\frac{3^{10}}{3^{-2}} \\=3^{(10-(-2)}\\=3^{(10+2)}\\=3^{12}[/tex]
