Question

How do you express`11x^(1/3)` in simplest radical form?

Answer 1

You take the cube root from `x` and multiply the result by 11.

Explanation:

An important thing to remember when dealing with fractional exponents is that exponents that take the form `1/n` are equivalent to taking the `n^"th"` root of something.

In your case, for `x>0`, you have

`x^(1/3) = root(3)(x)`

This means that the original expression is equivalent to

`11 * x^(1/3) = color(green)(11 * root(3)(x))`