Question

How do you solve `(1/1000)^(-1/3)`?

Answer 1

`10`

Explanation:

`(1/1000)^-(1/3)`

`=1/1000^-(1/3)`

`=1000^(1/3)`

`=root(3) 1000`

`=10`

Answer 2

`(1/1000) ^(-1/3) = 10`

Explanation:

`(1/1000) ^(-1/3)`

`= ((1000/1)^-1)^(-1/3)`

`= 1000^(-1 xx-1/3)`

`= 1000^(1/3)`

`= (10^3)^(1/3)`

`= 10^(3xx1/3)`

`= 10`