Question

How do you evaluate the expression `[(1/3)^-2]^3` using the properties?

Answer 1

`3^6`

Explanation:

`[(1/3)^-2]^3`
`(1/3)^(-2 *3) = (1/3)^-6 = (1^1/3^1)^-6 = (1^1)^-6 / (3^1)^-6`
`= 1^-6 / 3^-6 = (1/1^6) / (1/3^6) = 1*3^6/1 = 3^6`