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: 19

Answer

$x^3y^2$

Work Step by Step

We use the rules of exponents and radicals to obtain: $\displaystyle \sqrt[4]{x^{12}y^8}=(x^{12}y^{8})^{1/4}=(x^{12})^{1/4}(y^{8})^{1/4}=x^3y^2$
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