Simplify (-4/x)^3

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

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $- \frac{4}{x}$ .

${(- 1)}^{3} {(\frac{4}{x})}^{3}$

Apply the product rule to $\frac{4}{x}$ .

${(- 1)}^{3} \frac{4^{3}}{x^{3}}$

Step 2

Raise $- 1$ to the power of $3$ .

$- \frac{4^{3}}{x^{3}}$

Step 3

Raise $4$ to the power of $3$ .

$- \frac{64}{x^{3}}$