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6-1 6-1 Integer IntegerExponents Exponents Warm Up Lesson Presentation Lesson Quiz Holt Holt McDougal Algebra 1Algebra Algebra11 Holt McDougal 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 McDougal 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 McDougal Algebra 1 6-1 Integer Exponents Holt McDougal 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 McDougal Algebra 1 Any nonzero number raised to the zero power is 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 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. –2a0b-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 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 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 McDougal Algebra 1 Simplify. 6-1 Integer Exponents Example 4: Simplifying Expressions with Zero and Negative Numbers Simplify. A. 7w–4 Holt McDougal Algebra 1 B. 6-1 Integer Exponents Example 4: Simplifying Expressions with Zero and Negative Numbers Simplify. C. and Holt McDougal Algebra 1 6-1 Integer Exponents Check It Out! Example 4 Simplify. a. 2r0m–3 rº = 1 and b. Holt McDougal Algebra 1 c. .