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EXAMPLE 4 Using the Laws of Exponents with Rational Exponents (a) aBa/3 = a8/3 Law 1: a"a" = a"+n a2/5+7/5 - 3/5 a6/5 a Law 1, Law 2: a" (b) a- (c) (2a'b*)/2 = 22(a³)3/>(b*)3/2 Law 4: (abc)" = a'b"c" = (V2)'a3/2)b4(3/2) %3D Law 3: (a")" = a 2r3/4 (d) -1/2 Laws 5, 4, and 7 &r%/4 Law 3 Laws 1 and 2

EXAMPLE 4 Using the Laws of Exponents with Rational Exponents (a) aBa/3 = a8/3 Law 1: a"a" = a"+n a2/5+7/5 - 3/5 a6/5 a Law 1, Law 2: a" (b) a- (c) (2a'b*)/2 = 22(a³)3/>(b*)3/2 Law 4: (abc)" = a'b"c" = (V2)'a3/2)b4(3/2) %3D Law 3: (a")" = a 2r3/4 (d) -1/2 Laws 5, 4, and 7 &r%/4 Law 3 Laws 1 and 2

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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EXAMPLE 4 Using the Laws of Exponents with Rational Exponents (a) aBa/3 = a8/3 Law 1: a"a" = a"+n a2/5+7/5 - 3/5 a6/5 a Law 1, Law 2: a" (b) a- (c) (2a'b*)/2 = 22(a³)3/>(b*)3/2 Law 4: (abc)" = a'b"c" = (V2)'a3/2)b4(3/2) %3D Law 3: (a")" = a 2r3/4 (d) -1/2 Laws 5, 4, and 7 &r%/4 Law 3 Laws 1 and 2
Transcribed Image Text:EXAMPLE 4 Using the Laws of Exponents with Rational Exponents (a) aBa/3 = a8/3 Law 1: a"a" = a"+n a2/5+7/5 - 3/5 a6/5 a Law 1, Law 2: a" (b) a- (c) (2a'b*)/2 = 22(a³)3/>(b*)3/2 Law 4: (abc)" = a'b"c" = (V2)'a3/2)b4(3/2) %3D Law 3: (a")" = a 2r3/4 (d) -1/2 Laws 5, 4, and 7 &r%/4 Law 3 Laws 1 and 2
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