Whiteboard Protocol Properties of Exponents Bell Work Name
Whiteboard Protocol Properties of Exponents � � � Bell Work Name the parts of the following expressions: 1. ) 52 = 25 2. ) 43 = 64 OBJECTIVE: � � � TLW simplify each expression using the exponent properties CLASSWORK: Simplify each expression: (2 x 3)(5 x 4) EXIT TICKET: Simplify the expressions on the last slide. www. msphyllisbuehler. weebly. com 1/12/2022 1
Bell work Answers 1. ) 52 = 25 5 base 2 exponent 25 (answer) 2. ) 43 = 64 4 base 3 exponent 64 (answer) www. msphyllisbuehler. weebly. com 1/12/2022 2
Properties of Exponents � a 0 =1 � am • a n = a m + n � (ab)m = ambm � (am)n = amn � am/an = am─n � (a/b)n = an/bn � a-n = 1/an www. msphyllisbuehler. weebly. com 1/12/2022 3
Example 1 (3 a 2)(4 a 6) � � � (3 a 2)(4 a 6) = 3 • a 2 • 4 • a 6 = 3 • 4 • a 2 • a 6 = (3 • 4) • (a 2 • a 6) = 12 • a 8 = 12 a 8 � www. msphyllisbuehler. weebly. com 1/12/2022 4
Example 2 (3 x 2)0 / 4 xy 5 � (3 x 2)0/ 4 xy 5 = 1/4 xy 5 www. msphyllisbuehler. weebly. com 1/12/2022 5
Example 3 Simplify the expression � (x 4 x-2)/x-5 = (x 4 -2)/x-5 = (x 2)/x-5 � = (x 2)(x 5)/1 = x 7 phyllis. buehler@gmail. com www. msphyllisbuehler. weebly. com 1/12/2022 6
Example 4 (You Try) Simplify : � � � r 2 s 3 t 4)/(rs 4 t-4) = (r 2/r 1) • (s 3/s 4) • (t 4/t-4) = (r 2 -1) • (s 3 -4) • (t 4 -4) = (r 1) • (s-1) • (t 0) = r • (1/s 1) • 1 = r 1/s 1 = r/s @gmail. com phyllis. buehler www. msphyllisbuehler. weebly. com 1/12/2022 7
Practice Simplify each expression: � 1. ) (6 x 4 y 6)3 � 2. ) x 6(2 x)4 � 3. ) (h 5 k 10)0 � � Answers: � 1. ) 216 x 12 y 18 � 2. ) 16 x 10 � 3. ) 1 www. msphyllisbuehler. weebly. com 1/12/2022 8
Summative Assessment � Do problems 2, 6, 10, 12, on page 360 in the Algebra II textbook. Show your steps for each problem. � http: //msphyllisbuehler. weebly www. msphyllisbuehler. weebly. com 1/12/2022 9
- Slides: 9