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Properties of Rational Exponents

Properties of Rational Exponents. Section 7.2. Agenda . Math Talk Expectations Come up with what happens when students do not follow expectations Number Talk Review Last weeks test 5. Start rational exponents! . Number Talk .

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Properties of Rational Exponents

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  1. Properties of Rational Exponents • Section 7.2

  2. Agenda • Math Talk Expectations • Come up with what happens when students do not follow expectations • Number Talk • Review Last weeks test • 5. Start rational exponents!

  3. Number Talk • Devonte received $ 500 which was 115% of a number. He has to give 75% of that number to Larry. How much will Larry receive?

  4. What You Will Learn: 1. Simplify expressions with rational exponents. 2. Use properties of rational exponents. 3. Write an expression involving rational exponents in simplest form. 4. Perform operations with rational exponents. 5. Simplify expressions that have variables and rational exponents. 6. Write an expression involving variables and rational exponents in simplest form. 7. Perform operations with rational exponents and variables.

  5. Properties of Rational Exponents: Property: Example: 1. 2. (am)n = amn 3. (ab)m = ambm 4. Properties of Rational Exponents

  6. Properties of Rational Exponents: Property: Example: 5. 6. Properties of Rational Exponents (cont.)

  7. Simplify the expressions: 1. 2. 3. Using the Properties

  8. 4. 5. More Fun with Properties

  9. Simplify: 1. 2. 3. 4. 5. You Try

  10. Simplify the expressions: 1. 2. More Simplifying

  11. Simplify: 1. 2. You Try

  12. In order for a radical to be in simplest form, you have to remove any perfect nth powers and rationalize denominators. Example: Write in simplest form: 1. 2. Simplest Form - continued

  13. Write in simplest form: 1. 2. You Try

  14. Two radicals expressions are “like radicals” if they have the same index and the same radicand. Example: Perform the indicated operation: 1. 2. Operations Using Radicals

  15. Perform the indicated operation: 1. 2. You Try

  16. Important! = x when n is odd. = |x| when n is even. Simplifying Expressions Involving Variables

  17. Simplify the expression. Assume all variables are positive: 1. 2. 3. 4. Simplifying

  18. Simplify the expression. Assume all variables are positive. 1. 2. 3. 4. You Try

  19. Write the expression in simplest form. Assume all variables are positive. 1. 2. Writing Variable Expressions in Simplest Form

  20. Write the expression in simplest form. Assume all variables are positive. 1. 2. You Try

  21. Perform the indicated operation. Assume all variables are positive. 1. 2. 3. Adding and Subtracting Expressions Involving Variables

  22. Perform the indicated operations. Assume all variables are positive. 1. 2. 3. You Try

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