Question

Which expression is equivalent to (3^2)^-2

–81
–12
1\81
1\12

Answer 1

1/81
is the answer you were looking for:)

Answer 2

Option C is correct

`(1)/(81)`

Explanation:

Given the expression:

`(3^2)^(-2)`

We can write
`3^2` as:

`3^2 = 3 \cdot 3 = 9`

then;

`(9)^(-2)`

Using the exponent rule:

`a^(-n) = (1)/(a^n)`

then;

`(1)/(9^2)`

⇒
`(1)/(81)`

Therefore, the expression which is equivalent to
`(3^2)^(-2)` is,
`(1)/(81)`.