Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.2 - Exponents and Radicals - Exercises - Page 25: 47


(a) $2x\sqrt[3] {2x^2}$ (b) $\frac{5x}{y^2}\sqrt 3$

Work Step by Step

(a) $\sqrt[3] {16x^5}=\sqrt[3] {2^3(2)x^3x^2}=2x\sqrt[3] {2x^2}$ (b) $\sqrt {75x^2y^{-4}}=\sqrt {5^2(3)x^2(y^{-2})^2}=5xy^{-2}\sqrt 3=\frac{5x}{y^2}\sqrt 3$
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