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

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

Chapter 4 - Exponential Functions - Exercises to Skills for Chapter 4 - Page 185: 46



Work Step by Step

Simplifying the given expression using the rules of radicals, we find: $$\sqrt{6}s\sqrt{t^3v^5}\sqrt{6st^5v^3}\\ st^{\frac{3}{2}}v^{\frac{5}{2}}\cdot \:6\sqrt{s}t^{\frac{5}{2}}v^{\frac{3}{2}} \\ s\cdot \:6\sqrt{s}t^{\frac{3}{2}+\frac{5}{2}}v^{\frac{5}{2}+\frac{3}{2}} \\ =6st^4v^4\sqrt{s} \\ =6s^\frac{3}{2}t^4v^4$$
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