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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 1: Q. 1.100 (page 69)

Simplify: $(a) {(- 7)}^{2} (b) - 7^{2}$

Short Answer

Expert verified

The solutions of (a) and (b) are $49 a n d - 49$ respectively.

Step by step solution

01

Part (a) Step 1. Given information

Expression: ${(- 7)}^{2}$

02

Part (a) Step 2. Calculation

We have,

${(- 7)}^{2} = (- 7) (- 7) = 49$

Therefore, the solution is $49$

03

Part (b) Step 1. Given information

Expression: $- 7^{2}$

04

Part (b) Step 2. Calculation

We have,

$- 7^{2} = - (7.7) = - 49$

Therefore, the solution is $- 49$

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Most popular questions from this chapter

Translate from algebra into English:

$(a) 14 \leq 27 (b) 19 - 2 \neq 8 (c) 12 > 4 \div 2 (d) x - 7 < 1$

In the following exercises, evaluate the following expressions.

${(x - y)}^{2} when x = 10, y = 7$

In the following exercises, translate the phrases into algebraic expressions.

eight times the difference of y and nine

The width of a rectangle is 6 less than the length. Let l represent the length of the rectangle. Write an expression for the width of the rectangle.

Translate from Algebra to English.

$x + 11$

See all solutions

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