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Properties of Exponents: Multiplication & Division

Learn the rules for multiplication and division of exponents, including the zero exponent and negative exponent properties. Simplify expressions using multiple exponent properties.

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Properties of Exponents: Multiplication & Division

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  1. Warm Up multiplication exponents base On Friday we learned the rules for the __________ Properties of ___________. The common _____ rule states you must ________ the exponents of common bases. The _______ to ______ rule states you must ___________ the __________ of a _________ to a ___________. multiply power power multiply exponents power power

  2. 8.2 Zero & Negative Exponents Objective:Evaluate exponents with powers of zero and negatives. Standard:(2.0) Understand & use the rules of exponents.

  3. Zero Exponent Anything raised to the zero power is equal to 1.

  4. Negative Exponents Any negative exponent means you flip the base in the fraction.

  5. Simplify.

  6. Examples

  7. Try It Out!

  8. 8.2 Division Properties of Exponents • Goal: Use division properties of exponents • Standard: (2.0) Understand and use the rules of exponents.

  9. Review of Exponent Properties

  10. Division Property of Exponents To divide powers that have the same base, subtract the exponents.

  11. 1 EXAMPLE Use the Quotient of Powers Property • Evaluate the expression.

  12. CheckpointUsing the Quotient of Powers Property Simplify the quotient

  13. 2 EXAMPLE Use the Power of a Quotient Property Simplify the quotient

  14. CheckpointUse the Power of a Quotient Property Simplify the quotient

  15. Simplify Expressions using Multiple Properties 3 EXAMPLE Simplify the expression. Use only positive exponents

  16. Simplify Expressions using Multiple Properties 3 EXAMPLE Simplify the expression. Use only positive exponents

  17. Simplify the expression. Use only positive exponents.

  18. Simplify the expression. Use only positive exponents.

  19. Simplify the expression. Use only positive exponents.

  20. Simplify the expression. Use only positive exponents.

  21. Homework Page 370-371 #1-6, 10-12, 14-16 23-26, 37-39

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