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

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 11 - Polynomial and Rational Functions - 11.1 Power Functions and Proportionality - Exercises and Problems for Section 11.1 - Skill Refresher - Page 439: S5



Work Step by Step

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 $$x=\sqrt[3]{\frac{1}{5}}=\frac{1}{\sqrt[3]{5}}$$
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