Question

Find `root(3)(0.125)`.

Answer 1

`root(3)(0.125)`

`= root(3)(125/1000)`

`= (root(3)(125))/(root(3)(1000))   ....[(a/b)^m = (a^m)/(b^m)]`

`= (root(3)(5^3))/(root(3)(10^3))`

`= 5/10`

= 0.5                .....`(a^m)^(1/m) = a`