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

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

`\bf(1)/(81)`

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* 3)^(-2)\\\\\implies (9)^(-2)\\\\\implies(1)/((9)^2)\\\\ \implies (1)/(81)`

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

`\bf(1)/(81)`