Page 116 - Basic College Mathematics with Early Integers

SE CT I O N 1. 9 I EXPONENTS, SQUARE ROOTS, AND ORDER OF OPERATIONS 93

2 2 5 2
95. [2225 , 111 - 62 + 2 ] + 1225 - 212 96. [2169 , 120 - 72 + 2 ] - 124 + 292
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97. 7 - {18 - [40 , 14 22 + 24] + 5 } 98. 29 - {5 + 3[8 110 - 2642] - 50}

Objective Mixed Practice (Sections 1.3, 1.6) Find the area and perimeter of each square. See Example 15.

99. 100.
9 centimeters
7 meters

101. 102.

23 miles 41 feet

Concept Extensions

Answer the following true or false. See the Concept Check in this section.

2
5
103. “Six to the fifth power” is the same as 6 . 104. “Seven squared” is the same as 7 .
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105. 2 5 is the same as 5 5. 106. 4 9 is the same as 4 9.
Insert grouping symbols (parentheses) so that each given expression evaluates to the given number.

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107. 2 + 3 6 - 2; evaluates to 28 108. 2 + 3 6 - 2; evaluates to 20
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109. 24 , 3 2 + 2 5; evaluates to 14 110. 24 , 3 2 + 2 5; evaluates to 15
111. A building contractor is bidding on a contract to install gutters on seven 60 feet
homes in a retirement community, all in the shape shown.To estimate the 12 feet
cost of materials, she needs to know the total perimeter of all seven homes.
? 30 feet
Find the total perimeter. ?
40 feet

112. The building contractor from Exercise 111 plans to charge $4 per foot for installing vinyl gutters. Find the total
charge for the seven homes given the total perimeter answer to Exercise 111.

Simplify.

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4 2
4 5
5
113. (7 + 2 ) - (3 - 2 ) 114. 25 3 # (45 - 7 5) 5
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115. Write an expression that simplifies to 5. Use 116. Explain why 2 3 2 is not the same as (2 3) .
multiplication, division, addition, subtraction, and
at least one set of parentheses. Explain the process
you would use to simplify the expression.