IA_GPS_30 - 1. a) 81 b) 3 8 c) 5 32 d) 4 4 ( 3) ! e) 3 3 (...

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R0907 a.s. http://faculty.valenciacc.edu/ashaw/ INTERMEDIATE ALGEBRA GPS # 30 7.1 RADICAL EXPRESSIONS AND RATIONAL EXPONENTS NAME: Useful Guidelines: * 1 n n a a b = = means n a b = , where n a is the principal n th root of a. * n n a a = if n is even. For example: 4 4 ( 3) ( 3) 3 ! = ! = . * n n a a = if n is odd. For example: 3 3 ( 5) 5 ! = ! . [Remember: ( ) n m nm a a = , m n m n a a a + = and m m n n a a a ! = ] Rational Exponents: * If m and n are positive integers with n m in lowest term, then ( ) m n n m a a a n m = = . [Remember: ( ) m m m ab a b = , m m m a a b b ! " = # $ % , 1 1 n n n a a a ! " # = = $ % ] Simplify each root so that no radicals appear. Assume all variables represents real numbers.
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Unformatted text preview: 1. a) 81 b) 3 8 c) 5 32 d) 4 4 ( 3) ! e) 3 3 ( 5) ! ! f) 4 4 ( 2) ! ! 2. a) 2 5 b) 2 ( 5) ! c) 6 6 ( 5) ! d) 2 x e) 3 9 x f) 3 3 27 t ! g) 5 5 32 k h) -2 x Evaluate the following, simplify if possible, and write the answer with only positive exponents. 3. a) 4 3 8 b) 3 4 (16) c) 4 3 1000 27 ! " # $ % & ’ d) 3 4 16 81 ! " # $ % & ’ 4. a) 5 1 3 3 3 3 ! b) 5 1 2 2 ( ) x x x ! + 5 a) 5 2 6 6 t t t ! " xb) 3 3 4 6 x x !...
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This note was uploaded on 10/18/2011 for the course MAC 1103 taught by Professor Shaw during the Summer '11 term at Valencia.

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