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 - Practice and Problem-Solving Exercises: 21

Answer

$-\dfrac{10}{3}$ and $\dfrac{10}{3}$

Work Step by Step

Note that $\left(\frac{10}{3}\right)^4=\frac{10,000}{81}$ and $\left(-\frac{10}{3}\right)^4=\frac{10,000}{81}$. Thus, the real fourth roots of $\frac{10,000}{81}$ are $-\frac{10}{3}$ and $\frac{10}{3}$.
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