Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set: 15

Answer

-2

Work Step by Step

$-16^{\frac{1}{4}}=-(\sqrt[4] 16)=-(2)=-2$ Since the negative sign is not in parentheses with the 16, we only apply the exponent to the 16. In this case, we are taking the opposite of $\sqrt[4] 16$. We know that $\sqrt[4] 16=2$, because $2^{4}=16$
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