Question

How do you express the following using fractional exponents: `(3sqrtx)/(3sqrtr)`?

Answer 1

I think the intended expression in the question was `root(3)x/root(3)r`

If I am correct, then you could express this as `x^(1/3)r^(-1/3)`

Notice that `(x^(1/3))^3 = x^(1/3*3) = x^1 = x`
So `x^(1/3)` is indeed the cube root of `x`, `root(3)x`

Note also that `(r^(-1/3))^3 = r^(-1/3*3) = r^(-1) = 1/r`