Chapter 6 - Radical Functions and Rational Exponents - Chapter Review - Page 423: 12

$$0.2x$$

RECALL: (1) If $n$ is odd, then $\sqrt[n]{a^n}=a$. (2) If $n$ is even, then $\sqrt[n]{a^n} = |a|$ Use rule (1) above to obtain: \begin{align*} \sqrt[5]{0.00032x^{5}}&=\sqrt[5]{(0.2x)(0.2x)(0.2x)(0.2x)(.2x)}\\ &=\sqrt[5]{(0.2x)^5}\\ &=0.2x \end{align*}