Question

Which expression is equivalen
(3^2)^-2

Answer 1

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

Explanation:

Using the rules of exponents

`(a^(m)) ^(n)` =
`a^(mn)` and
`a^(-m)` =
`(1)/(a^(m) )`

Given

`(3^(2) )^(-2)` =
`3^(2(-2))` =
`3^(-4)` =
`(1)/(3^(4) )` =
`(1)/(81)`

Answer 2

1

Explanation:

using the laws of exponents

(a^m)^n = a^mn

therefore, 3^(2)(-2)

=> 3^-4 = 1/81