## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 1 - Review Exercises - Page 98: 36

#### Answer

$-2$

#### Work Step by Step

An exponent of $3$ for $-\frac{1}{2}$ means $-\frac{1}{2}$ will be multiplied three times. An exponent of $4$ for $2$ means $2$ will be multiplied four times. Thus, simplifying the given expression gives: $=(-\frac{1}{2})(-\frac {1}{2})(-\frac{1}{2}) \cdot 2(2)(2)(2)$ Multiply two factors at a time to obtain: $\\=\frac{1}{4}(-\frac{1}{2}) \cdot 4(2)(2) \\=-\frac{1}{8} \cdot 8(2) \\=-\frac{1}{8} \cdot 16 \\=-\frac{16}{8} \\=-2$

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