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7-2 Division Properties of Exponents

Objectives: Divide monomials using the properties of exponents. Simplify expressions containing negative and zero exponents. 7-2 Division Properties of Exponents. ___________________________= ___________________________= ___________________________= .

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7-2 Division Properties of Exponents

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  1. Objectives: Divide monomials using the properties of exponents. Simplify expressions containing negative and zero exponents. 7-2 Division Properties of Exponents

  2. ___________________________= • ___________________________= • ___________________________= RULE: When you divide variables with the same base you: subtract the exponents Let’s look at…

  3. a) b) c) Example 1: Simplify each expression. Assume that no denominator equals 0

  4. Fractions & Exponents RULE: When fractions are raised to an exponent you apply the exponent to the numerator & denominator

  5. a) b) Example 2: Simplify each expression

  6. c) d) Example 2: You try…

  7. RULE: Any nonzero number raised to the zero power is 1. a) b) = c)

  8. Any nonzero real number raised to a negative power. • Let’s look at … • For any nonzero number and any integer , Examples: Negative Exponent

  9. An expression is considered to be simplified when it contains only positive exponents, each base appears exactly once, there are no powers of powers, and all fractions are in simplest form.

  10. 8 1. What number did Kobe Bryant originally wear with the Lakers? 2. What year did ESPN begin? 1979 3. Which popular clothing company has it's headquarters in New Albany, Ohio? Abercrombie & Fitch Trivia…

  11. a) Example 3: Simplify each expression.

  12. b) Example 3: Simplify each expression.

  13. c) Example 3: Simplify each expression.

  14. WS Practice

  15. Page 403: 19-41 odd, 49, 51, 53 Homework

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