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Grade Distribution

Grade Distribution. Radicals and Rational Exponents. Section 5.1. Solutions of x n = c. If the exponent is odd Exactly one solution for any c If the exponent is even When c > 0, there are at least one positive and one negative solution

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Grade Distribution

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  1. Grade Distribution 5.1 - Radical Expressions and Rational Exponents

  2. Radicals and Rational Exponents Section 5.1 5.1 - Radical Expressions and Rational Exponents

  3. Solutions of xn= c • If the exponent is odd • Exactly one solution for any c • If the exponent is even • When c > 0, there are at leastone positive andone negativesolution • When c = 0, there are at leastone double rootsolutions • When c < 0, there are at leasttwo imaginary solutions 5.1 - Radical Expressions and Rational Exponents

  4. Example 1 Simplify 5.1 - Radical Expressions and Rational Exponents

  5. Example 2 Simplify 5.1 - Radical Expressions and Rational Exponents

  6. Example 3 Simplify 5.1 - Radical Expressions and Rational Exponents

  7. Your Turn Simplify 5.1 - Radical Expressions and Rational Exponents

  8. Breakdown of the Exponent • Base:The term/variable of which is being raised upon • Exponent:The term/variable is raised by a term. AKA Power EXPONENT BASE 5.1 - Radical Expressions and Rational Exponents

  9. Breakdown of the Exponent 5.1 - Radical Expressions and Rational Exponents

  10. Breakdown of the Exponent • Another way of writing is 251/2. • is written in radical exponent form. • 251/2 is written in rational exponent form. 5.1 - Radical Expressions and Rational Exponents

  11. Breakdown of the Exponent M is the power (exponent) N is the root A is the base 5.1 - Radical Expressions and Rational Exponents

  12. Example 4 Simplify 43/2 5.1 - Radical Expressions and Rational Exponents

  13. Example 5 Simplify 5.1 - Radical Expressions and Rational Exponents

  14. Your Turn Simplify –274/3 5.1 - Radical Expressions and Rational Exponents

  15. Properties of Exponents • Product of a Power: • Power of a Power: • Power of a Product: • Negative Power Property: • Quotient Power Property: • Zero Power Property: • Identity Property: 5.1 - Radical Expressions and Rational Exponents

  16. Example 6 Simplify 24 • 25 Base, Base, Add 5.1 - Radical Expressions and Rational Exponents

  17. Your Turn Simplify 82/3 • 81/3 5.1 - Radical Expressions and Rational Exponents

  18. Example 7 Simplify (23)4 Power, Power, Multiply 5.1 - Radical Expressions and Rational Exponents

  19. Example 8 Simplify (3x)4 5.1 - Radical Expressions and Rational Exponents

  20. Your Turn Simplify (8x3/4)2/3 5.1 - Radical Expressions and Rational Exponents

  21. Example 9 Simplify x1/2(x3/4 – x3/2) 5.1 - Radical Expressions and Rational Exponents

  22. Your Turn Simplify (x5/2 y4) (xy7/4)–2 5.1 - Radical Expressions and Rational Exponents

  23. Example 10 Simplify (xy7/4)–2 NO NEGATIVE EXPONENTS 5.1 - Radical Expressions and Rational Exponents

  24. Your Turn Simplify (16x2/5 y –4)5/4 5.1 - Radical Expressions and Rational Exponents

  25. Example 11 Simplify DIVISION IS SUBTRACTION 5.1 - Radical Expressions and Rational Exponents

  26. Your Turn Simplify 5.1 - Radical Expressions and Rational Exponents

  27. Assignment Page 334 1, 3, 11-19 odd, 23, 25, 31-67 EOO 5.1 - Radical Expressions and Rational Exponents

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