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Multiplication Properties of Exponents. 7-3. Warm Up. Lesson Presentation. Lesson Quiz. Holt Algebra 1. Objective. Use multiplication properties of exponents to evaluate and simplify expressions.

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7-3

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  1. Multiplication Properties of Exponents 7-3 Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1

  2. Objective Use multiplication properties of exponents to evaluate and simplify expressions.

  3. Products of powers with the same base can be found by writing each power as a repeated multiplication. Notice the relationship between the exponents in the factors and the exponents in the product 5 + 2 = 7.

  4. Example 1: Finding Products of Powers Simplify. A. B.

  5. Example 1: Finding Products of Powers Simplify. C. D.

  6. Remember! A number or variable written without an exponent actually has an exponent of 1. 10 = 101 y = y1

  7. Check It Out! Example 1 Simplify. a. b.

  8. Check It Out! Example 1 Simplify. c.

  9. Check It Out! Example 1 Simplify. d.

  10. Notice the relationship between the exponents in the original power and the exponent in the final power: To find a power of a power, you can use the meaning of exponents.

  11. Example 3: Finding Powers of Powers Simplify.

  12. Example 3: Finding Powers of Powers Simplify. C.

  13. Check It Out! Example 3 Simplify.

  14. Check It Out! Example 3c Simplify. c.

  15. Powers of products can be found by using the meaning of an exponent.

  16. Example 4: Finding Powers of Products Simplify. A. B.

  17. Example 4: Finding Powers of Products Simplify. C.

  18. Check It Out! Example 4 Simplify.

  19. Check It Out! Example 4 Simplify. c.

  20. Lesson Quiz: Part I Simplify. 1. 32• 34 3. 5. 7. 2. (x3)2 4. 6.

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