Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
M098 Carson Elementary and Intermediate Algebra 3e Section 5.1 Objectives 1. Evaluate exponential forms with integer exponents. Vocabulary Exponent A symbol written to the upper right of a base number that indicates how many times to use the base as a factor The number in an exponential expression that is repeatedly multiplied. Base Prior Knowledge Evaluating exponential expressions. 4 2 = 16 4 (-2) = 16 3 (-2) = -8 4 -2 = -16 3 -2 = -8 even power (negative) = positive odd power (negative) = negative 4 the additive inverse of 2 3 the additive inverse of 2 New Concepts Evaluate exponential forms with integer exponents. Observe the following pattern: 3 4 81 1 1 1 3 3 1 1 2 9 3 1 1 3 27 3 3 1 3 27 3 32 32 9 31 3 33 30 1 0 If a is a real number except 0, then a = 1. Example 1: 0 a. 5 =1 b. (-5) = 1 c. 1 1 25 d. (6y) = 1 0 f. -5 = -(1) = -1 g. 3 –4 =1–1=0 h. (8w) (-6x ) (-2y) = (1)(-6x )(1) = -6x i. (3 – 3) = 0 0 0 0 0 e. V. Zabrocki 2011 0 0 2 0 0 0 2 2 (?) Indeterminate 0 6y = 6(1) = 6 page 1 M098 Carson Elementary and Intermediate Algebra 3e Section 5.1 If a is a real number except 0 and n is a natural number, then a n 1 an . Example 2: 1 a. 23 b. 3x 2 c. 4x 3 1 8 23 5x 3 (no negative exponents) d. 3 5 e. x2 x 3 5 x 3 5 1 x3 5 x3 5x 3 1 4 x3 If a is a real number except 0 and n is a natural number, then 1 an . a n Example 3: a. b. 2a 3 b2 a 2b 4 c 3 2 a 3b 2 b 4c 3 c. 3 3 x 2 y 3 4h 5 d. a2 m 2k 3 x e. 4m 2 h5k 2 2 1 3 x 2 9 x2 x2 3 x 1 1 2 1 x 9 9 x 3 2 33 x 2 y3 a If a and b are real numbers except 0 and n is a natural number, then b n n b . a Example 4: a. V. Zabrocki 2011 p q 6 6 q q6 6 p p b. 2 3 3 3 27 3 8 2 page 2