Concepts Examples Perform the operations. 3 q # 3 2p = 9 2pq z 4 , z 2t = z 4 # 2t z = 2zt 4z = t 2 2 x + 5 y = 2y + 5x xy x 6 - 2y 5 = 5x - 12y 30 24 16 = 161/4 = 2 82/3 = A 23 8B 2 = 23 82 = 4 Perform the operations. 28x + 232x = 222x + 422x = 622x A 25 - 23B A 25 + 23B = 5 - 3 = 2 A 22 + 27B A 23 - 26B = 26 - 223 + 221 - 242 FOIL method; 212 = 223 27y 25 = 27y 25 # 25 25 = 235y 5 R.7 Rational Expressions Operations Let a b and c d 1b≠0, d≠02 represent rational expressions. a b # c d = ac bd and a b ÷ c d = a b # d c 1 c 302 a b t c d = ad tbc bd R.8 Radical Expressions Radical Notation Let a be a real number, n be a positive integer, and a1/n be a real number. !n a =a1/n Let a be a real number, m be an integer, n be a positive integer, and 2n a be a real number. am/n =A!n aB m =!n am Operations Operations with radical expressions are performed like operations with polynomials. Rationalizing the Denominator Rationalize the denominator by multiplying numerator and denominator by a form of 1. Chapter R Review Exercises Complete the table of fraction, decimal, and percent equivalents. Fraction in Lowest Terms Decimal Percent 1. 4% 2. 5 6 3. 1.5 99 CHAPTER R Review Exercises
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