Question

Simplify:

`(0.001)^(1/3)`

Answer 1

Given `(0.001)^(1/3)`

`(0.001)^(1/3)=((0.001xx1000)/(1xx1000))^(1/3)`

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

`=((1xx1xx1)/(10xx10xx10))^(1/3)`

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

`=(1^(3xx1/3)/10^(3xx1/3))`

`=1/10`

Hence the value of `(0.001)^(1/3)` is `1/10`