Question

How do you simplify `(125)^(-1/3)`?

Answer 1

`1/5`

Explanation:

There are two rules you'll need to know for this:
`a^(1/m)=rootm(a)`
`a^-m=1/a^m`

Now this question uses both of these rules to solve it:
`125^-(1/3)=1/(125^(1/3))`
`=1/root3(125)`
And as your calculator or experience will tell you, `root3(125)` is 5;
`=1/5`