Holt McDougal Algebra 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

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  5 5 Power Value – –2  5 5  5 5 5 5

Holt McDougal Algebra 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 McDougal Algebra Integer Exponents

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

Holt McDougal Algebra 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

Holt McDougal Algebra 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.

Holt McDougal Algebra 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.

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

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

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