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Understanding Integer Exponents: Holt McDougal Algebra 1 Lesson

Learn to simplify expressions with integer exponents, including negative exponents and applications in real-life scenarios. Practice evaluating expressions and mastering exponent rules with this comprehensive lesson.

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Understanding Integer Exponents: Holt McDougal Algebra 1 Lesson

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  1. 6-1 Integer Exponents Warm Up Lesson Presentation Lesson Quiz Holt McDougal Algebra 1 Holt Algebra 1

  2. Warm Up Evaluate each expression for the given values of the variables. 1.x3y2 for x = 1 and y = -10 Write each number as a power of the given base. 2. 3; base 4

  3. Essential Objectives Evaluate expressions containing zero and integer exponents. Simplify expressions containing zero and integer exponents.

  4.  5  5  5  5 You have seen positive exponents. Recall that to simplify 32, use 3 as a factor 2 times: 32 = 3  3 = 9. But what does it mean for an exponent to be negative or 0? You can use a table and look for a pattern to figure it out. 55 54 53 52 51 50 5–1 5–2 625 3125 125 25 5

  5. When the exponent decreases by one, the value of the power is divided by 5. Continue the pattern of dividing by 5. What’s more??? 1. 2. 3. 4.

  6. Remember! Base x Exponent 4

  7. Reading Math 2–4 is read “2 to the negative fourth power.”

  8. = Example: Application One cup is 2–4 gallons. Simplify this expression.

  9. 5-3 m = Example: Application A sand fly may have a wingspan up to 5–3 m. Simplify this expression.

  10. Example: Application Simplify. A. 4–3 B. 70 7º = 1 C. (–5)–4 D. –5–4

  11. Caution In (–3)–4, the base is negative because the negative sign is inside the parentheses. In –3–4 the base (3) is positive.

  12. Example: Application Simplify. a. 10–4 b. (–2)–4 c. (–2)–5 d. –2–5

  13. Example : Evaluating Expressions Evaluate the expression for the given value of the variables. x–2 for x = 4

  14. Example: Application p–3 for p = 4 . Evaluate

  15. What if you have an expression with a negative exponent in a denominator, such as ? or We know that: So evaluating:

  16. B. Example Simplify. A. 7w–4

  17. rº = 1 and . Example Simplify. a. 2r0m–3 Note: b. c.

  18. Lesson Quiz: Part I 1. A square foot is 3–2 square yards. Simplify this expression. Simplify. 2. 2–6 3. (–7)–3 4. 60 1 5. –112

  19. for a = 6 and b = 3 7. Lesson Quiz: Part II Evaluate each expression for the given value(s) of the variables(s). x–4 for x =10 6.

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