Question

If x =`(3/2)^2(2/3)^-4`, the value of `"x"^-2` is

Options

• `(2/3)^12`

• `(3/2)^12`

• `(6/3)^-12`

• `(3/6)^-12`

Answer 1

`(2/3)^12`

Explanation:

`"x"=(3/2)^2(2/3)^-4=(3/2)^2(3/2)^4=(3/2)^6`

`"x"^-2=(2/3)^12`