rewrite k√xp using a rational expression show all your work

To rewrite k√xp using a rational expression, we can first write the expression with a fractional exponent:

k√xp = (xp)^(1/k)

Now, we can rewrite this expression using a rational exponent by expressing it as a fraction:

1/k can be written as 1 ÷ k

Thus, the expression becomes:

(xp)^(1/k) = xp^(1 ÷ k)

Therefore, k√xp can be rewritten as xp^(1/k) or xp^(1 ÷ k).