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4.3 Rational Exponents 2/1/2013
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Cube Root Perfect Cube 1 = 1 3 8 = 2 3 27 = 3 3 64 = 4 3 125 = 5 3
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Fourth Root Perfect Fourth 1 = 1 4 16 = 2 4 81 = 3 4 256 = 4 4 625 = 5 4
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Fifth Root Perfect Fifth 1 = 1 5 32 = 2 5 243 = 3 5 1024 = 4 5 3125 = 5 5
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Simplifying =5 =2 =5 =3 In general
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Ex : Radical Form: Vocabulary Rational Exponents: exponents written as fractions In general:
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Evaluate the expression. Evaluate Expressions with Rational Exponents a. 9 1/2 = 9 = 3 b. 16 1/4 = 2 = 16 4 c. 64 1/3 = 4 = 64 3
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Ex : Radical Form: Rational Exponent to Radical In general:
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Rewrite Expressions () 4 3 5 =53/453/4 Rewrite using rational exponents. () 4 3 5 a. b.Rewrite using radicals. 72/572/5 72/572/5 = () 5 2 7
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Properties of Radicals Product Property: Quotient Property:
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Use Properties of Radicals a. 3 3 9 3 = 4 3 48 = 2 b. 4 48 3 4
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Simplifying Rational Exponents. a ma n = a m+n
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Simplifying Rational Exponents. (a m ) n = a mn
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Simplifying Rational Exponents.
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(a b) m =a m b m
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Simplifying Rational Exponents.
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Homework: WS 4.3 Even problems
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