Question

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

a.-81
b.-12
c.1/81
d.1/12

Answer 1

Option c is correct
`(1)/(81)`

Explanation:

We are given an expression and we find its equivalent by solving it

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

first solve 3^{2}which is equal to 3 * 3 = 9

`9^(-2)\\\\(1)/(9^(2))\\\\(1)/(81)`

Answer 2

Answer: c.1/81

Explanation:

1. The negative exponent indicates that (3²)² is actually in the denominator, thererfore,, you can rewrite the expression as it is shown below:

`(1)/(3^(2))^(2)`

2.By the properties of exponents you raise a powers of powers, you must multiply the exponents shown, then:

`(1)/(3^(4))`

3. Then. you obtain that the equivalent expression is:

`(1)/(81)`