College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding: 25

Answer

$3x^2y^3\sqrt[4]{2x}$

Work Step by Step

We use the rules of exponents and radicals to obtain: $\displaystyle \sqrt[4]{162x^9y^{12}}=\sqrt[4]{81*2x^9y^{12}}=\sqrt[4]{3^42x^8xy^{12}}=3x^2y^3\sqrt[4]{2x}$
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