Respuesta :
Answer:
Option C is correct
[tex]\frac{1}{81}[/tex]
Step-by-step explanation:
Given the expression:
[tex](3^2)^{-2}[/tex]
We can write [tex]3^2[/tex] as:
[tex]3^2 = 3 \cdot 3 = 9[/tex]
then;
[tex](9)^{-2}[/tex]
Using the exponent rule:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
then;
[tex]\frac{1}{9^2}[/tex]
⇒[tex]\frac{1}{81}[/tex]
Therefore, the expression which is equivalent to [tex](3^2)^{-2}[/tex] is, [tex]\frac{1}{81}[/tex].
