Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-1 Roots and Radical Expressions - Lesson Check: 5

Answer

$a^4|b^9|$

Work Step by Step

Write the radicand as a perfect square then simplify to have $\sqrt{(a^4b^9)^2} \\=a^4|b^9|.$ The number/expression $b^9$ needs to be inside an absolute value because if $b$ is negative, then $b^9$ will also be negative.
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