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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q. 406 (page 92)

In the following exercises, simplify each expression.
$(a) {(- 7)}^{3} (b) - 7^{3}$

Short Answer

Expert verified

The simplified expressions are

$(a) {(- 7)}^{3} = - 343 (b) - 7^{3} = - 343$

Step by step solution

01

Step 1. Given information

The given expressions are

$(a) {(- 7)}^{3} (b) - 7^{3}$

02

Part a.Step 1. Simplify the expression

$(a) {(- 7)}^{3} = (- 7) 脳 (- 7) 脳 (- 7) Expandtheproduct = 49 脳 (- 7) Simplify = - 343$

Hence, ${(- 7)}^{3} = - 343$

03

Part b.Step 1.Simplify the expression

$(b) - 7^{3} = - (7 脳 7 脳 7) Expandtheproduct = - (343) Simplify = - 343$

Hence, $- 7^{3} = - 343 .$

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