6 1 Integer Exponents Warm Up Lesson Presentation

6 -1 Integer Exponents You have seen positive exponents. Recall that to simplify 32,

6 -1 Integer Exponents When the exponent decreases by one, the value of the

6 -1 Integer Exponents Holt Mc. Dougal Algebra 1

6 -1 Integer Exponents Example 2: Zero and Negative Exponents Simplify. A. 4– 3

6 -1 Integer Exponents Example 3 A: Evaluating Expressions with Zero and Negative Exponents

6 -1 Integer Exponents Example 3 B: Evaluating Expressions with Zero and Negative Exponents

6 -1 Integer Exponents Check It Out! Example 3 b Evaluate the expression for

6 -1 Integer Exponents Example 4: Simplifying Expressions with Zero and Negative Numbers Simplify.

6 -1 Integer Exponents Check It Out! Example 4 Simplify. a. 2 r 0

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6 -1 Integer. Exponents Warm Up Lesson Presentation Lesson Quiz Holt Mc. Dougal Algebra 1 Algebra 11 Holt Mc. Dougal

6 -1 Integer Exponents 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. Power 55 54 53 52 Value 3125 625 125 25 5 Holt Mc. Dougal Algebra 1 5 5 5 51 5 50 5– 1 5– 2

6 -1 Integer Exponents When the exponent decreases by one, the value of the power is divided by 5. Continue the pattern of dividing by 5. Holt Mc. Dougal Algebra 1

6 -1 Integer Exponents Holt Mc. Dougal Algebra 1

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

6 -1 Integer Exponents Example 3 A: Evaluating Expressions with Zero and Negative Exponents Evaluate the expression for the given value of the variables. x– 2 for x = 4 Substitute 4 for x. Use the definition Holt Mc. Dougal Algebra 1

6 -1 Integer Exponents Example 3 B: Evaluating Expressions with Zero and Negative Exponents Simplify the expression for the given values of the variables. – 2 a 0 b-4 for a = 5 and b = – 3 Substitute 5 for a and – 3 for b. Evaluate expressions with exponents. Write the power in the denominator as a product. Simplify the denominator. Simplify. Holt Mc. Dougal Algebra 1

6 -1 Integer Exponents Check It Out! Example 3 b Evaluate the expression for the given values of the variables. for a = – 2 and b = 6 Substitute – 2 for a and 6 for b. Simplify expressions with exponents. Write the power in the denominator as a product. Simplify the denominator. 2 Holt Mc. Dougal Algebra 1 Simplify.

6 -1 Integer Exponents Example 4: Simplifying Expressions with Zero and Negative Numbers Simplify. A. 7 w– 4 Holt Mc. Dougal Algebra 1 B.

6 -1 Integer Exponents Example 4: Simplifying Expressions with Zero and Negative Numbers Simplify. C. and Holt Mc. Dougal Algebra 1

6 -1 Integer Exponents Check It Out! Example 4 Simplify. a. 2 r 0 m– 3 rº = 1 and b. Holt Mc. Dougal Algebra 1 c. .