By Cynthia Y. Young

The hot third version of Cynthia Young's *Algebra & Trigonometry* keeps to bridge the distance among in-class paintings and homework through assisting readers conquer universal studying boundaries and construct self assurance of their skill to do mathematics. The textual content beneficial properties really designated, robust pedagogy and is written in a transparent, unmarried voice that speaks on to scholars and mirrors how teachers speak in lectures. during this revision, younger permits readers to develop into self reliant, profitable inexperienced persons by way of together with hundreds of thousands of extra workouts, extra possibilities to take advantage of know-how, and a brand new themed modeling undertaking that empowers them to use what they've got realized within the lecture room to the realm open air the classroom. The seamlessly built-in electronic and print assets to accompany *Algebra & Trigonometry 3e *offer extra instruments to assist clients adventure good fortune.

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**Extra resources for Algebra and Trigonometry**

**Example text**

4-3 # 1 1 33 = 1 , a 3b = 1 # = 33 = 27 1 1 3 a 3b 3 1 1 16 = 3 # 24 = = 64 2-4 4 d. - 23 # 1 4 1 = - 23 # (- 6)2 = (- 8)(36) = (-6)-2 Ϫ8 36 ■ YO U R T U R N u b. qxd Evaluate the expressions. a. - 1 5-2 b. 1 # -2 6 3-2 - 288 ■ Answer: a. Ϫ25 b. qxd 8/7/12 20 5:34 PM Page 20 C H A P T E R 0 Prerequisites and Review Now we can evaluate expressions involving positive and negative exponents. How do we evaluate an expression with a zero exponent? We deﬁne any nonzero real number raised to the zero power as 1.

14m # 4 2 7 b Z 0 59. 2 10 , 7 3 63. 3x 6x , 10 15 x Z 0 64. 4 1 1 , 7 5 20 67. 3y 6x , 7 28 y Z 0 68. 2 1# 5 7 3 6 In Exercises 69–72, evaluate the algebraic expression for the speciﬁed values. 69. 71. ■ -c 2d for c ϭ Ϫ4, d ϭ 3 m1 # m2 r 2 for m1 ϭ 3, m2 ϭ 4, r ϭ 10 70. 2l ϩ 2w 72. x - m s for for l ϭ 5, w ϭ 10 x ϭ 100, m ϭ 70, s ϭ 15 A P P L I C AT I O N S On December 16, 2007, the United States debt was estimated at $9,176,366,494,947, and at that time the estimated population was 303,818,361 citizens.

Use the product property. Ϫ6x2 y6 This is incorrect. What mistake was made? This is incorrect. What mistake was made? 2 2 75. Simplify (Ϫ2xy3) (5x2 y) . 76. Simplify Apply the product to a power property. ϭ (Ϫ2)2 x2 (y3) (5)2 (x2) y2 Apply the power rule. ϭ 4x2 y9 25x4 y2 Group like factors. ϭ (4)(25)x2 x4 y9 y2 Apply the product property. ϭ 100x y 2 2 -4x16 y9 8x2 y3 (2xy2) ϭ 2x3 y6 . - 4 x16 y9 rq 2 r q 3 r 8 x y Group like factors. = q Use the quotient property. 1 = - x8 y3 2 6 11 This is incorrect.