## Functions Modeling Change: A Preparation for Calculus, 5th Edition

$x=-\frac{1}{8}$
Rewrite the equation as $$\left(\frac{1}{x}\right)^{\frac{1}{3}}=-2$$ Therefore, cubing both sides creates $$\frac{1}{x}=-8$$ Finally, take the reciprocal of both sides to get $x=-\frac{1}{8}$.