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

-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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