Answer
$=-\frac{64}{x^{3}}$
Work Step by Step
When a quotient is raised to a power, raise both the numerator and the denominator to that power:
$$(-\frac{4}{x})^{3}$$
$$=\frac{(-4)^{3}}{x^{3}}$$
$$=\frac{-64}{x^{3}}$$
$$=-\frac{64}{x^{3}}$$
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