Question

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

Answer 1

1/9a^2
that is the answer

Answer 2

`(3a)^(-2)` =
`(1)/(9(a)^(2) )`.

Explanation:

Given :
`(3a)^(-2)`.

To find : Equivalent expression .

Solution : We have given that
`(3a)^(-2)`.

By the negative exponent rule :
`x^(-m)` =
`(1)/(x^(m) )`.

On applying this rule ,

`(3a)^(-2)` =
`(1)/((3a)^(2) )`.

`(3a)^(-2)` =
`(1)/(9(a)^(2) )`.

Therefore,
`(3a)^(-2)` =
`(1)/(9(a)^(2) )`.