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# Rational exponents

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### Rational exponents

1. 1.
2. 2.
3. 3. How Do We Use Rational Exponents? <ul><li>Do Now: Perform the indicated operation and simplify </li></ul><ul><li>1. </li></ul><ul><li>2. </li></ul>
4. 4. n th Roots n th Roots An n th root of number a is a number whose n th power is a . a number whose n th power is a If the index n is even, then the radicand a must be nonnegative. is not a real number
5. 5. Square Root of x 2 Page 393
7. 7. Rational Exponents
8. 8. Exponent 1/ n When n Is Even
9. 9. When n Is Even
10. 10. Exponent 1/ n When n Is Odd
11. 11. Exponent 1/ n When n Is Odd
12. 12. n th Root of Zero
13. 13. Rational Exponents
14. 14. Evaluating in Either Order
15. 15. Negative Rational Exponents
16. 16. Evaluating a - m/n
17. 17. Rules for Rational Exponents 7-6
18. 18. Simplifying
19. 19. Simplifying
20. 20. Simplifying
21. 21. Multiplying Radicals – Different Indices
22. 22. Multiplying Radicals <ul><li>Different Indices </li></ul>
23. 23. Different Indices
24. 24. Different Indices
25. 25. Different Indices
26. 26. Rational Exponents <ul><li>Eliminate the root, then the power </li></ul>
27. 27. Eliminate the Root, Then the Power
28. 28. Negative Exponents
29. 29. Negative Exponents <ul><li>Eliminate the root, then the power </li></ul>
30. 30. Negative Exponents <ul><li>Eliminate the root, then the power </li></ul>
31. 31. No Solution <ul><li>Eliminate the root, then the power </li></ul>
32. 32. No Solution <ul><li>Eliminate the root, then the power </li></ul>
33. 33. Strategy for Solving Equations with Exponents and Radicals