Question

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

Answer 1

Answer: 1/81

First you simplify it to 3^-4

Then express it with a positive exponent which goes to 1/3^4

Then evaluate it to 1/81

Answer 2

Answer:  

The expression which is equivalent to the given expression is given by :

$\bf\frac{1}{81}$

Step-by-step explanation:

The expression is given to be :

$(3^{2})^{-2}$

Now, we need to find a expression which is equivalent to this given expression.

$(3^{2})^{-2}\\\\\implies (3\times 3)^{-2}\\\\\implies (9)^{-2}\\\\\implies\frac{1}{(9)^2}\\\\ \implies \frac{1}{81}$

Hence, The expression which is equivalent to the given expression is given by :

$\bf\frac{1}{81}$