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4 36. 4(y + 1) 4-1 Powers and Exponents Write each expression using exponents. 14. 3 • 3 • 3 • 3 • 3 ANSWER: 5 ANSWER: 1024 Replace each _ with <, >, or = to make a true statement. 6 2 54. 2 _ 8 ANSWER: = 3 16. (–14) • (–14) • (–14) ANSWER: 3 (–14) 18. (–1.5)(–1.5)(–1.5) ANSWER: 3 (–1.5) 20. 5 • p • p • p • q • q • q ANSWER: 3 3 5p q 22. 8(c + 4)(c + 4) ANSWER: 2 4 4 56. (–6) _ 6 ANSWER: = 3 60. Persevere with Problems Determine whether x is always, sometimes, or never a positive number for x ≠ 0. Explain your reasoning. ANSWER: 3 Sometimes; if x is positive, then x is positive. If x is 3 negative, then x is negative because the product of two negative numbers is always positive and the product of a positive number and a negative number is always negative. 62. Identify Repeated Reasoning Use the pattern 8(c + 4) 0 24. (2x + 3y)(2x + 3y) ANSWER: (2x + 3y) below to predict the value of 5 . Explain your reasoning. 4 5 = 625 3 2 5 = 125 2 5 = 25 26. A water park has a wave pool that contains about 6 3 1 5 =5 2 2 • 4 • 10 gallons of water. How many gallons of water is this? ANSWER: 409,600 gal Evaluate each expression if x = –2, y = 3, and z = 2.5. 3 30. xy ANSWER: –54 ANSWER: 0 5 = 1; Sample answer: Each number is found by 0 dividing the previous number by 5. 5 ÷ 5 = 1, so 5 = 1. 3 G H J 4 36. 4(y + 1) ANSWER: 1024 Replace each _ with <, >, or = to make a true statement. 6 2 eSolutions - Powered by Cognero 8 54. 2 _Manual ANSWER: = 2 66. Which of the following is equivalent to 4 • 5 ? F 12 • 25 3 • 3 • 3 • 3 • 2 • 2 • 2 • 2 • 2 4 • 4 • 4 • 5 • 5 4 • 4 • 4 • 5 • 5 • 5 ANSWER: H Name the property shown by each statement. 74. 87 + 0 = 0 Page 1 ANSWER: Additive Identity J 4 • 4 • 4 • 5 • 5 • 5 4-1ANSWER: Powers and Exponents H Name the property shown by each statement. 74. 87 + 0 = 0 ANSWER: Additive Identity 76. 12 • 0 = 0 ANSWER: Multiplicative Property of Zero eSolutions Manual - Powered by Cognero Page 2