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QUOITENT AND ZERO PROPERTIES OF EXPONENTS

QUOITENT AND ZERO PROPERTIES OF EXPONENTS. September 19, 2012. 4. 2. =. 4 2 – 2 = 4 0 = 1. 1 =. 2. 4. 1. 1. (4 • 4). (4 • 4). 4. 2. = 1. =. =. =. (4 • 4). (4 • 4). 4. 2. Property: Zero Power.

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QUOITENT AND ZERO PROPERTIES OF EXPONENTS

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

  2. 4 2 = 42 – 2 = 40 = 1 1 = 2 4 1 1 (4 • 4) (4 • 4) 4 2 = 1 = = = (4 • 4) (4 • 4) 4 2 Property: Zero Power When the numerator and denominator have the same base and exponent, subtracting the exponents results in a 0exponent. This result can be confirmed by writing out the factors.

  3. Property: Zero Power • Any number, besides zero, to the zero power is 1. • Example: • Example:

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

  5. Dividing with Exponents

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

  7. Practice Quotient of Powers PropertyI DO: • Try: • Try:

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

  9. 9 – 2 9 10 – 5 e 5 e YOU DO: Dividing powers with the SAME base Divide. Write the quotient as one power. 9 9 A. 9 2 Subtract exponents. 97 e 10 B. e 5 Subtract exponents.

  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:

  12. Simplify Expressions: YOU DO

  13. Partner Work • Partner A: • Partner B: without the green dot Task: • 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.

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