Question

How do you simplify `[(-3 times 3^(1/2))^(-1/3)]`?

Answer 1

`-i/3`

Explanation:

`(x^a)^b = x^(a * b)`

and

`(x^a) * (x^b) = x^(a + b)`

and

`x^(-a) = 1/(x^a)`

So:

• `(-3^(-1/3) * 3^(-1/6))`

• `-9^(-1/2)`

• `1/(-9^(1/2))`

• `1/(sqrt(-9))`

• `1/(3i)`

• `-i/3`