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Rational Exponents

Rational Exponents. With a partner, please fill in this table in your notes!. Can you explain the pattern?. What did you discover?. Radical expression and Exponents. By definition of Radical Expression. The index of the Radical is 3. So, what’s up?. Exponential Form. Radical Form.

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Rational Exponents

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  1. Rational Exponents

  2. With a partner, please fill in this table in your notes! Can you explain the pattern? What did you discover?

  3. Radical expression and Exponents By definition of Radical Expression. The index of the Radical is 3.

  4. So, what’s up? Exponential Form Radical Form The base becomes the radicand. The numerator becomes the exponent. The denominator becomes the index.

  5. Let’s start easy… Use radicals to evaluate powers. = 8 = 4 = (-3)2 = 9 = (4)5 = 1024

  6. Now backwards . . .

  7. Write in Radical form

  8. Write in Radical form

  9. Write each Radical using Rational Exponents

  10. Write each Radical using Rational Exponents

  11. What about Negative exponents Negative exponents make inverses.

  12. What if the numerator is not 1 Evaluate

  13. What if the numerator is not 1 Evaluate

  14. What if the numerator is not 1 Evaluate

  15. Simplify

  16. Simplify

  17. Simplify

  18. Simplify

  19. Simplify

  20. Simplify

  21. Simplify

  22. Simplify

  23. Simplify

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