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Warm Up(Add to Notes) Evaluate each expression for the given values of the variables.

Warm Up(Add to Notes) Evaluate each expression for the given values of the variables. 1. x 3 y 2 for x = –1 and y = 10 2. for x = 4 and y = (–7). –100. Integer Exponents. 7-1. Holt Algebra 1. Remember!. Base x Exponent. 4.

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Warm Up(Add to Notes) Evaluate each expression for the given values of the variables.

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  1. Warm Up(Add to Notes) Evaluate each expression for the given values of the variables. 1.x3y2 for x = –1 and y = 10 2. for x = 4 and y = (–7) –100

  2. Integer Exponents 7-1 Holt Algebra 1

  3. Remember! Base x Exponent 4

  4. Notice the phrase “nonzero number” in the previous table. This is because 00 and 0 raised to a negative power are both undefined.

  5. cup is equal to Example 1: Application One cup is 2–4 gallons. Simplify this expression.

  6. Example 2: Zero and Negative Exponents Simplify. A. 4–3 B. 70 Any nonzero number raised to the zero power is 1. 7º = 1 C. (–5)–4 D. –5–4

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

  8. Check It Out! Example 2 Simplify. a. 10–4 b. (–2)–4 c. (–2)–5 d. –2–5

  9. Check It Out! Example 3a Evaluate the expression for the given value of the variable. p–3 for p = 4 Substitute 4 for p. Evaluate exponent. Write the power in the denominator as a product. Evaluate the powers in the product.

  10. for a = –2 and b = 6 Check It Out! Example 3b Evaluate the expression for the given values of the variables. Substitute –2 for a and 6 for b. Evaluate expressions with exponents. Write the power in the denominator as a product. Evaluate the powers in the product. 2 Simplify.

  11. An expression that contains negative or zero exponents is not considered to be simplified. Expressions should be rewritten with only positive exponents. So if a base with a negative exponent is in a denominator, it is equivalent to the same base with the opposite (positive) exponent in the numerator.

  12. B. Example 4: Simplifying Expressions with Zero and Negative Numbers Simplify. A. 7w–4

  13. and Example 4: Simplifying Expressions with Zero and Negative Numbers Simplify. C.

  14. rº = 1 and . Check It Out! Example 4 Simplify. a. 2r0m–3 b. c.

  15. 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 –121

  16. 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.

  17. Warm-Up 1. A square foot is 3–2 square yards. Simplify this expression. Simplify. 2. 2–6 3. (–7)–3 4. 60 1 5. –112 –121

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