Answer:
[tex]\frac{1}{3^{4} }[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex] and [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Given
[tex](3^{2} )^{-2}[/tex] = [tex]3^{2(-2)}[/tex] = [tex]3^{-4}[/tex] = [tex]\frac{1}{3^{4} }[/tex] = [tex]\frac{1}{81}[/tex]
