Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.2 - Radicals and Rational Exponents - Exercises - Page 303: 8

Answer

$=\pm3$.

Work Step by Step

The given values are $n=4$ and $a=81$ The index $n=4$ is even and $a>0$. So, $81$ has two real fourth roots. $=\pm\sqrt[4]{81}$ Use $81=3^4$. $=\pm\sqrt[4]{3^4}$ Simplify. $=\pm3$.
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