Problem 1SP Problem 2SP: Simplify the expressions. Assume all variables represent positive real numbers. v 25 4 Problem 3SP: Simplify the expressions. Assume all variables represent positive real numbers. p 17 q 10 3 Problem 4SP: Simplify.
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Problem 5SP Problem 6SP: Simplify. Assume that a > 0 and b > 0 . 32 a 10 b 19 4 Problem 7SP: Use the order of operations to simplify the expressions.
Assume.
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Problem 8SP: Use the order of operations to simplify the expressions.
Assume.
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Problem 9SP: Simplify. 2 300 30 Problem 1PE: 1. a. The multiplication property of radicals indicates that if and are real numbers, then... Problem 2PE: For Exercises 2–4, simplify the expression. Write the answer with positive exponents only. ( a 2 b −... Problem 3PE: For Exercises 2–4, simplify the expression. Write the answer with positive exponents only. ( p 4 q −... Problem 4PE: For Exercises 2–4, simplify the expression. Write the answer with positive exponents only.
4.
Problem 5PE Problem 6PE Problem 7PE: Write y 9 by using rational exponents. Problem 8PE: 8. Write by using rational exponents.
Problem 9PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) x 5 Problem 10PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.)
10.
Problem 11PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.)
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Problem 12PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) r 17 3 Problem 13PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) a 5 b 4 Problem 14PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) c 9 d 6 Problem 15PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) − x 8 y 13 4 Problem 16PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.)
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Problem 17PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) 28 Problem 18PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) 63 Problem 19PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) 20 Problem 20PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) 50 Problem 21PE Problem 22PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) 2 24 Problem 23PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.)
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Problem 24PE Problem 25PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) 25 a b 3 Problem 26PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.)
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Problem 27PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) 64 m 5 n 20 Problem 28PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) 81 y 17 3 Problem 29PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) − 16 x 6 y z 3 3 Problem 30PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.)
30.
Problem 31PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.) 80 w 4 z 7 4 Problem 32PE: For Exercises 9–32, simplify the radicals. (See Examples 1–5.)
32.
Problem 33PE Problem 34PE: For Exercises 33–44, simplify the radical expressions. (See Examples 6–7.)
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Problem 35PE: For Exercises 33–44, simplify the radical expressions. (See Examples 6–7.) p 7 p 3 Problem 36PE Problem 37PE: For Exercises 33–44, simplify the radical expressions. (See Examples 6–7.) 50 2 Problem 38PE Problem 39PE: For Exercises 33–44, simplify the radical expressions. (See Examples 6–7.) 3 24 3 Problem 40PE Problem 41PE Problem 42PE Problem 43PE Problem 44PE: For Exercises 33–44, simplify the radical expressions. (See Examples 6–7.)
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Problem 45PE: For Exercises 45–72, simplify the radical expressions.
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Problem 46PE: For Exercises 45–72, simplify the radical expressions. 108 Problem 47PE: For Exercises 45–72, simplify the radical expressions. − 6 75 Problem 48PE: For Exercises 45–72, simplify the radical expressions. − 8 8 Problem 49PE: For Exercises 45–72, simplify the radical expressions. 25 x 4 y 3 Problem 50PE: For Exercises 45–72, simplify the radical expressions. 125 p 3 q 2 Problem 51PE: For Exercises 45–72, simplify the radical expressions. 27 x 2 y 3 z 4 3 Problem 52PE: For Exercises 45–72, simplify the radical expressions.
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Problem 53PE: For Exercises 45–72, simplify the radical expressions.
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Problem 54PE: For Exercises 45–72, simplify the radical expressions.
54.
Problem 55PE: For Exercises 45–72, simplify the radical expressions.
55.
Problem 56PE: For Exercises 45–72, simplify the radical expressions. 4 h 100 h 5 Problem 57PE: For Exercises 45–72, simplify the radical expressions. 16 a 2 b 2 a 2 b 4 3 Problem 58PE: For Exercises 45–72, simplify the radical expressions. − 27 a 4 8 a 3 Problem 59PE Problem 60PE: For Exercises 45–72, simplify the radical expressions. 7 5 u 12 v 20 w 66 x 80 Problem 61PE: For Exercises 45–72, simplify the radical expressions.
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Problem 62PE: For Exercises 45–72, simplify the radical expressions. 72 m 5 n 3 3 Problem 63PE: For Exercises 45–72, simplify the radical expressions. − 5 a 12 a 3 b 4 c Problem 64PE: For Exercises 45–72, simplify the radical expressions. − 7 y 75 x y 5 z 6 Problem 65PE Problem 66PE: For Exercises 45–72, simplify the radical expressions. 10 c d 7 4 Problem 67PE: For Exercises 45–72, simplify the radical expressions. 54 a 4 b 2 Problem 68PE: For Exercises 45–72, simplify the radical expressions. 48 r 6 s 2 Problem 69PE: For Exercises 45–72, simplify the radical expressions. 2 27 3 Problem 70PE: For Exercises 45–72, simplify the radical expressions. 7 24 2 Problem 71PE: For Exercises 45–72, simplify the radical expressions.
71.
Problem 72PE: For Exercises 45–72, simplify the radical expressions. 10 63 12 Problem 73PE: For Exercises 73–76, write a mathematical expression for the English phrase and simplify.
73. The... Problem 74PE: For Exercises 73–76, write a mathematical expression for the English phrase and simplify. The... Problem 75PE: For Exercises 73–76, write a mathematical expression for the English phrase and simplify.
75. The... Problem 76PE: For Exercises 73–76, write a mathematical expression for the English phrase and simplify.
76. The... Problem 77PE: For Exercises 77–80, determine the length of the third side of the right triangle. Write the answer... Problem 78PE: For Exercises 77–80, determine the length of the third side of the right triangle. Write the answer... Problem 79PE: For Exercises 77–80, determine the length of the third side of the right triangle. Write the answer... Problem 80PE: For Exercises 77–80, determine the length of the third side of the right triangle. Write the answer... Problem 81PE: 81. On a baseball diamond, the bases are 90 ft apart. Find the exact distance from home plate to... Problem 82PE: Linda is at the beach flying a kite. The kite is directly over a sand castle 60 ft away from Linda.... Problem 83PE: Tom has to travel from town A to town C across a small mountain range. He can travel one of two... Problem 84PE: One side of a rectangular pasture is 80 ft in length. The diagonal distance is 110 yd. If fencing... format_list_bulleted