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Evaluate nth Root and Use Rational Exponents

Evaluate nth Root and Use Rational Exponents. Notes 1 – Section 6.1. Essential Learnings. Students will understand and be able to apply the rules of exponents and number properties of algebraic expressions to solve problems. Real nth Roots of a.

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Evaluate nth Root and Use Rational Exponents

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  1. Evaluate nth Root and Use Rational Exponents Notes 1 – Section 6.1

  2. Essential Learnings • Students will understand and be able to apply the rules of exponents and number properties of algebraic expressions to solve problems.

  3. Real nth Roots of a • Let n be an integer (n>1) and let a be a real number. If n is an even integer: a<0 No real nth roots a=0 One real nth root a>0 Two real nth roots

  4. Real nth Roots of a • Let n be an integer (n>1) and let a be a real number. If n is an odd integer: a<0 One real nth roots a=0 One real nth root a>0 One real nth roots

  5. Rational Exponents Let be an nth root of aand let mbe a positive integer.

  6. Rational Exponents Let be an nth root of aand let m be a negative integer.

  7. Example 1 (7 & 9 in Assign.) Rewrite the expression using rational exponent notation.

  8. Example 2 (11 & 13) Rewrite the expression using radical notation.

  9. Example 3 (15, 17, 19) Find the indicated real nth root of a. n = 6, a= 4096 n = 3, a= -27

  10. Example 4 (21-33) Evaluate the expression without using a calculator.

  11. Example 5 (36-42) Approximating Roots - Evaluate the expression using a calculator. Round to two decimal places.

  12. Example 6 (49-57) Solve the equation. Round to two decimal places.

  13. Example 7 (49-57) Solve the equation. Round to two decimal places.

  14. Assignment p. 417: 3-31odd, 36-42 (x3), 49-57 (x3) Signed Syllabus / Honor Code Slip Covered Textbook

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