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

Answer:

Option C is correct

$\frac{1}{81}$

Step-by-step 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:

$a^{-n} = \frac{1}{a^n}$

then;

$\frac{1}{9^2}$

⇒$\frac{1}{81}$

Therefore, the expression which is equivalent to $(3^2)^{-2}$ is, $\frac{1}{81}$.