1. QUOITENT AND ZERO PROPERTIES OF EXPONENTS September 19, 2012

2. When the numerator and denominator have the same base and exponent, subtracting the exponents results in a 0 exponent. This result can be confirmed by writing out the factors. 1 = 4 2 4 2 4 2 – 2 = 4 0 = 1 = = (4 4) = 1 1 1 = 4 2 2 = (4 4) 4 Property: Zero Power

3. 3 Any number, besides zero, to the zero power is 1. Example:

4. 4 Division Properties of Exponents Quotient of Powers Property Power of a Quotient Property

5. Dividing with Exponents

6. 6 Quotient of Powers Property To divide powers that have the same base, subtract the exponents. KEEP THE BASE!!! Example:

7. 7 Practice Quotient of Powers Property I DO: 1.Try: 2.Try:

8. Subtract exponents. 7 2 7 5 – 3 7 5 7 3 WE DO Dividing Powers with the Same Base Divide. Write the quotient as one power. A. x 10 x 9 B. Subtract exponents. x 10 – 9 x Think: x = x 1

9. Subtract exponents. 9797 9 9 – 2 9 9 9 2 YOU DO: Dividing powers with the SAME base Divide. Write the quotient as one power. A. B. e 10 e 5 Subtract exponents. e 10 – 5 e 5

10. 10 Power of a Quotient Property To find a power of a quotient, distribute the power to numerator and denominator. Example: I DO

11. WE DO: 11

12. 12 Simplify Expressions: YOU DO

13. Partner A: Partner B: without the green dot Task: 1.Partner A will coach (talk) while Partner B will write down the game plan for each problem. Switch Role: odd problems: 2. Partner B will coach (talk) while Partner A will write down the game plan for each problem.