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# 8 1 zero and negative exponents-modified

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### 8 1 zero and negative exponents-modified

1. 1. 8-1 Zero and Negative Exponents& 8-3 Multiplication Propertiesof Exponents Day 38 Objective: 1.01
2. 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. 3. NotesExponents Zero as an Exponent a0 = 1 2x3 Negative Exponent2 is the coefficient, a-1 = x is the base and 1 3 is the exponent a
4. 4. Examples: Simplifyn 3-4 5) (-5)0n (-4)-3 6) 3ab-2n -3-2 7) 1 −3 xn ½ -3 8) −6 5x y
5. 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. 6. Multiplying Powers with the SAME BASE 23 . 24 = WRITE IT OUT 4 . 43 . 42 = IN EXPANDED FORM!
7. 7. Notes Multiplying Powers of the Same Base am • an = am+n
8. 8. ExamplesRewrite using each base only once.13) 53 x 5614) 24 x 2-315) 7-3 x 72 x 76
9. 9. ExamplesSimplify 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