8 1 zero and negative exponents-modified

1. 8-1 Zero and Negative Exponents & 8-3 Multiplication Properties of Exponents Day 38 Objective: 1.01

2. Investigation:  23 = 2 . 2 . 2 = Do you see a  22 = 2 . 2 = pattern?  21 = 2 Keep it going!  20 =  2-1 =  2-2 =  2-3 =

3. Notes Exponents Zero as an Exponent a0 = 1 2x3 Negative Exponent 2 is the coefficient, a-1 = x is the base and 1 3 is the exponent a

4. Examples: Simplify n 3-4 5) (-5)0 n (-4)-3 6) 3ab-2 n -3-2 7) 1 −3 x n ½ -3 8) −6 5x y

5. Examples Evaluate if n = -2 and w = 5. −1 9) n-3w0 11) n 2 w 0 10) w 12) 1 −2 4 n nw

6. Multiplying Powers with the SAME BASE  23 . 24 = WRITE IT OUT  4 . 43 . 42 = IN EXPANDED FORM!

7. Notes Multiplying Powers of the Same Base am • an = am+n

8. Examples Rewrite using each base only once. 13) 53 x 56 14) 24 x 2-3 15) 7-3 x 72 x 76

9. Examples Simplify 16) a • a5 19) a • b • a5 17) n2 • n3 • 7n 20) 2y3 • 7x2 • 2y4 18) 6y2 • 3y3 • 2y-4 21) m2 • n-2 • 7m

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