Section 1.7 Exponents, Algebraic Expressions, and the Order of Operations 65 For Exercises 88–95, simplify the expressions with nested parentheses. (See Example 5.) 88. 3 4 16 322 15 89. 2 514 12 3 6 90. 91. 82 512 18 62 33 2315 12 122 4 3 3 110 42 15 12 4 2 103 16 42 18 522 4 92. 93. 5 521 32 14 226 4 518 110 82 236 94. 95. Concept 4: Algebraic Expressions For Exercises 96–103, evaluate the expressions for the given values of the variables. x 12, y 4, z 25, and w 9. (See Examples 6 and 7.) 96. 10y z 97. 8w 4x 98. 3x 6y 9w 99. 9y 4w 3z 100. 1z x y22 101. 1y z w22 102. 2z 103. 2w Calculator Connections Topic: Evaluating Expressions with Exponents Many calculators use the key to square a number. To raise a number to a higher power, use the key (or on some calculators, the key or key). Expression Keystrokes Result 262 26 676 c On some calculators, you do not need to press . 34 3 4 81 or 3 4 Calculator Exercises For Exercises 104–109, use a calculator to perform the indicated operations. 104. 105. 106. 107. 108. 109. 1562 4182 125 354 433 713 For Exercises 110–115, simplify the expressions by using the order of operations. For each step use the calculator to simplify the given operation. 110. 8126 54,978 561 111. 92,168 6954 29 13548 329122 17500 62523 112. 113. 114. Hint: This expression has implied grouping symbols. 115. Hint: This expression has implied grouping symbols. 54,137 13393 21342 54,137 3393 2134 89,880 1384 21842 89,880 384 2184 81
miller_prealgebra_2e_ch1_3
To see the actual publication please follow the link above