Question

How do you write `(125)^(1/3)` in radical form?

Answer 1

`root(3)(125)`

Explanation:

Basically, a square root (`sqrt()`) is a number, say `x` raised to the power of `1/2`.

So if I have `sqrtx`, it is the same as saying if have `x^(1/2)`.

When the exponent is in fractions, the numerator just tells me how many times the power is, the denominator tells me the root. If the question here were `(125)^(2/3)`, then I would have `root(3)(125^2)`.

Now for your question. `(125)^(1/3)` is the same as `root(3)(125^1)`,
which evaluates to `5`, because `5xx5xx5=125`.