Section 6-2 Day 1 Apply Properties of Rational Exponents

Properties of Radicals

1 3 = 11 4 = 11 5 = = 82 4 = = = = = = = = = = = = = = 512

Example =(2 6 ) -1/6 (4 6 ) -1/6 =½ ¼= ⅛ – 2/5 =10 3/5

Example 2 Use the properties of radicals to simplify the expression. a.) 3 √125 3 √8 = b.) 5 √96 = 5 √3 5 2 = √32 5 √3 = 5 √3

Example 3 Write the expression in simplest form. a.) 3 √104 = 3 √8 3 √13 = 2 3 √13

Warm-Up

Section 6-2 Day 2 Apply Properties of Rational Exponents

Example 4 Simplify the expression. a.) 7 5 √12 – 5 √12 = b.) 4(9 2/3 ) + 8(9 2/3 ) = 6 5 √12 12(9 2/3 ) 1

Example 5 Simplify the expression. a.) 4 √625z 12 = b.) (32m 5 n 30 ) 1/5 = c.) 3 √6x 4 y 9 z 14 = 5z 3 5 √32m 5 n 30 = 3 √6 3 √x 3 3 √x 3 √y 9 3 √z 12 3 √z 2 = 2mn 6 xy 3 z 4 3 √6xz 2

Example 6 Simplify the expression. a.) 4√12 – 2√75 = b.) 6 3 √ √24 = 4√4 √3 – 2√25 √3 6 3 √27 3 √ √8 3 √3 4 2√3 – 2 5 √3 8√3 – 10√3 = -2√ √ √ √ √3 = 32 3 √3

Homework Section 6-2 Pages 424 –425 3, 4, 6, 8, 11, 15, 17, 18, 20, 21, 23, 24, 26 – 28, 33, 35, 36, 40, 43 – 48, 52, 53, 57, 60, 62, 64, 69, 78, 79