Simplify f(x)( cube root of 64x^6)/(x^5)

$f (x) \frac{\sqrt[3]{64 x^{6}}}{x^{5}}$

Simplify the numerator.

Rewrite $64 x^{6}$ as ${(4 x^{2})}^{3}$ .

$f (x) \frac{\sqrt[3]{{(4 x^{2})}^{3}}}{x^{5}}$

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

$f (x) \frac{4 x^{2}}{x^{5}}$

Simplify terms.

Cancel the common factor of $x^{2}$ and $x^{5}$ .

Factor $x^{2}$ out of $4 x^{2}$ .

$f (x) \frac{x^{2} \cdot 4}{x^{5}}$

Cancel the common factors.

Factor $x^{2}$ out of $x^{5}$ .

$f (x) \frac{x^{2} \cdot 4}{x^{2} x^{3}}$

Cancel the common factor.

$f (x) \frac{x^{2} \cdot 4}{x^{2} x^{3}}$

Rewrite the expression.

$f (x) \frac{4}{x^{3}}$

Combine $f (x)$ and $\frac{4}{x^{3}}$ .

$\frac{f (x) \cdot 4}{x^{3}}$

Move $4$ to the left of $f (x)$ .

$\frac{4 f (x)}{x^{3}}$