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

Published by Pearson

# Chapter 5 - Section 5.2 - Multiplying Polynomials - Exercise Set - Page 359: 24

#### Answer

$-32x^{55}$

#### Work Step by Step

Using $(x^ay^b)^c=x^{ac}y^{bc}$ or the products-to-powers rule, the given expression, $(-2x^{11})^5 ,$ simplifies to \begin{array}{l}\require{cancel} (-2)^{1(5)}x^{11(5)} \\\\= (-2)^{5}x^{55} \\\\= -32x^{55} .\end{array}

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