4.3 Rational Exponents 2/1/2013. Cube Root Perfect Cube 1 = 1 3 8 = 2 3 27 = 3 3 64 = 4 3 125 = 5 3.

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Presentation transcript:

4.3 Rational Exponents 2/1/2013

Cube Root Perfect Cube 1 = = = = = 5 3

Fourth Root Perfect Fourth 1 = = = = = 5 4

Fifth Root Perfect Fifth 1 = = = = = 5 5

Simplifying =5 =2 =5 =3 In general

Ex : Radical Form: Vocabulary Rational Exponents: exponents written as fractions In general:

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

Ex : Radical Form: Rational Exponent to Radical In general:

Rewrite Expressions () =53/453/4 Rewrite using rational exponents. () a. b.Rewrite using radicals. 72/572/5 72/572/5 = () 5 2 7

Properties of Radicals Product Property: Quotient Property:

Use Properties of Radicals a = = 2 b

Simplifying Rational Exponents. a ma n = a m+n

Simplifying Rational Exponents. (a m ) n = a mn

Simplifying Rational Exponents.

(a b) m =a m b m

Simplifying Rational Exponents.

Homework: WS 4.3 Even problems