Question

How to transform an expression to radical form `(9x)^(a/b)`?

Answer 1

`root(b)((9x)^a)`

Explanation:

You need to use the fact that

`color(blue)(x^(m/n) = root(n)(x^m))" "` with `color(blue)(n!=0)`

In your case, `9x` will be the expression under the radical. Raising this expression to a fractional exponent equal to `a/b` will thus be equivalent to

`(9x)^(a/b) = root(b)((9x)^a)`