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QUOITENT AND ZERO PROPERTIES OF EXPONENTS

Learn how to apply the quotient and zero power properties of exponents through examples and practice exercises. Explore division properties of exponents and the power of a quotient property. Practice dividing powers with the same base and simplify expressions using these concepts. Engage in partner work to reinforce learning.

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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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