Simplify f(x) = cube root of 27x^9

$f (x) = \sqrt[3]{27 x^{9}}$

Step 1

Rewrite $27 x^{9}$ as ${(3 x^{3})}^{3}$ .

$f (x) = \sqrt[3]{{(3 x^{3})}^{3}}$

Step 2

Pull terms out from under the radical, assuming real numbers.

$f (x) = 3 x^{3}$