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7-4. Division Properties of Exponents. Warm Up. Lesson Presentation. Lesson Quiz. Holt Algebra 1. Warm Up Simplify. 1. ( x 2 ) 3 3. 5. 2. 4. 6. Objective. Use division properties of exponents to evaluate and simplify expressions.

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7-4

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  1. 7-4 Division Properties of Exponents Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1

  2. Warm Up Simplify. 1.(x2)3 3. 5. 2. 4. 6.

  3. Objective Use division properties of exponents to evaluate and simplify expressions.

  4. A quotient of powers with the same base can be found by writing the powers in a factored form and dividing out common factors. Notice the relationship between the exponents in the original quotient and the exponent in the final answer: 5 – 3 = 2.

  5. Example 1: Finding Quotients of Powers Simplify. A. B.

  6. Example 1: Finding Quotients of Powers Simplify. C. D.

  7. Helpful Hint Both and 729 are considered to be simplified.

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

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

  10. Writing Math You can “split up” a quotient of products into a product of quotients: Example:

  11. Simplify and write the answer in scientific notation. Check It Out! Example 2

  12. A power of a quotient can be found by first writing the numerator and denominator as powers. Notice that the exponents in the final answer are the same as the exponent in the original expression.

  13. Example 4A: Finding Positive Powers of Quotient Simplify.

  14. Example 4B: Finding Positive Powers of Quotient Simplify.

  15. Example 4C: Finding Positive Powers of Quotient Simplify.

  16. Check It Out! Example 4b Simplify.

  17. Example 5A: Finding Negative Powers of Quotients Simplify.

  18. Example 5B: Finding Negative Powers of Quotients Simplify.

  19. Example 5C: Finding Negative Powers of Quotients Simplify.

  20. Check It Out! Example 5a Simplify.

  21. Check It Out! Example 5b Simplify.

  22. Check It Out! Example 5c Simplify.

  23. 1. 3.4. 5. Lesson Quiz: Part I Simplify. 2.

  24. Lesson Quiz: Part II Simplify. 6. Simplify (3  1012) ÷ (5  105) and write the answer in scientific notation.

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