Simplify. a. 3 –2 Simplify = ALGEBRA 1 LESSON 8-1 (–22.4) 0 b. Use the definition of zero as an exponent. = 1 Zero and Negative Exponents 8-1 = Use the definition of negative exponent

Let’s try: Turn to page 395. Let’s try: A. Answer: 1 81 B. Answer: 1 C. Answer: D. Answer: 1 7 E. Answer: - 1 9

Simplify a.b. Simplify. 3ab 23ab 2 = = 1  1x 31x 3 Use the definition of negative exponent. = x 3 Identity Property of Multiplication ALGEBRA 1 LESSON 8-1 = 1 x 3 Multiply by the reciprocal of, which is x 3. 1 x 3 Rewrite using a division symbol. = 1  x –3 Zero and Negative Exponents 3ab –2 1 b 2 Use the definition of negative exponent. = 3a x –3

Evaluate 4x 2 y –3 for x = 3 and y = –2. Method 1: Write with positive exponents first. Substitute 3 for x and –2 for y. 4(3) 2 (–2) 3 = 36 –8 – = = Simplify. ALGEBRA 1 LESSON 8-1 Zero and Negative Exponents 8-1 4x 2 y –3 = Use the definition of negative exponent. 4x 2y 34x 2y 3

(continued) Method 2: Substitute first. 4x 2 y –3 = 4(3) 2 (–2) –3 Substitute 3 for x and –2 for y. 4(3) 2 (–2) 3 = Use the definition of negative exponent. 36 –8 – = = Simplify. ALGEBRA 1 LESSON 8-1 Zero and Negative Exponents 8-1

c ALGEBRA 1 LESSON 8-1 Zero and Negative Exponents pages 397–399 Exercises 1.– – 5. 6.– 7. 8.– – 12.– 13.–2 14.3; ; –3 16.–5 17.3a x 7 20.c x 4 1 a p 3 x 2 y 7a 3b 2 w 1 x 5 y 7 7st ac 3 x 2 8z 7 y 7 x 5 y 7 t m 2 t – – –

ALGEBRA 1 LESSON 8-1 Zero and Negative Exponents 44.– 45.a.$20.48; $.32 b.No; the value of the allowance rapidly becomes very great. 46.neg. 47.pos. 48.pos. 49.neg. 50.neg – – – – – a.5 –2, 5 –1, 5 0, 5 1, 5 2 b.5 4 c. 62.In –3 0, 3 is raised to the zero power, and then the opposite is determined. In (–3) 0, the number –3 is raised to the zero power. a n – –