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

$x=\frac{1}{\sqrt[3]{5}}$
Using the fact that $\frac{a^m}{a^n}=a^{m-n}$, the equation becomes $$10x^{5-2}=10x^3=2$$ Divide both sides by $10$ to get $$x^3=\frac{2}{10}=\frac{1}{5}$$ Take the cube root of both sides to get $$x=\sqrt[3]{\frac{1}{5}}=\frac{1}{\sqrt[3]{5}}$$