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

2. 6-1 Integer Exponents You have seen positive exponents. Recall that to simplify 3 2, use 3 as a factor 2 times: 3 2 = 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. 3125 625 125255  5 5 Power Value 5 5454 5353 5252 5151 5 –1 5050 5 –2  5 5  5 5 5 5

3. Holt McDougal Algebra 1 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.

4. Holt McDougal Algebra 1 6-1 Integer Exponents

5. Holt McDougal Algebra 1 6-1 Integer Exponents Example 2: Zero and Negative Exponents Simplify. A. 4 –3 B. 7 0 7º = 1 Any nonzero number raised to the zero power is 1. C. (–5) –4 D. –5 –4

6. Holt McDougal Algebra 1 6-1 Integer Exponents Example 3A: 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

7. Holt McDougal Algebra 1 6-1 Integer Exponents Example 3B: Evaluating Expressions with Zero and Negative Exponents Simplify the expression for the given values of the variables. –2a 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.

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

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

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

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