Answer:
3²
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , [tex]a^{0}[/tex] = 1
given
[tex]3^{-6}[/tex] × ([tex]3^{4}[/tex] ÷ [tex]3^{0}[/tex] )²
= [tex]3^{-6}[/tex] × ([tex]3^{4}[/tex] ÷ 1 )²
= [tex]3^{-6}[/tex] × [tex](3^4)^{2}[/tex]
= [tex]3^{-6}[/tex] × [tex]3^{8}[/tex]
= [tex]3^{(-6+8)}[/tex]
= 3²
