Answer: OPTION C
Step-by-step explanation:
By the powers to powers rule you have that:
[tex](a^m)^{n}=a^{m*n}[/tex]
By the negative exponents rule, you have that:
[tex]a^{-b}=\frac{1}{a^{b}}[/tex]
Therefore, applying this rules you obtain the following result:
[tex](3^{-2})^{4}=(\frac{1}{3^{2}})^{4}[/tex]
[tex]\frac{1}{3^{2*4}}=\frac{1}{3^{8}}[/tex]
Therefore, the answer is the option C.
