Question

Work out: (⅔)^-2 With an explanation please and thank you.

Answer 1

`(9)/(4)` , 2.25, or 2
`(1)/(4)`

Explanation:

First of all, you would need to apply the exponent rule to the equation.

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

Then,

(
`(2)/(3)`)^2 =
`(4)/(9)`

So,

`(1)/((4)/(9) )`

Once you apply the fraction rule, the answer is

`(9)/(4)`

Answer 2

`(9)/(4)`

Explanation:

`((2)/(3) )^(-2) = ((3)/(2) )^(2) = (9)/(4)`