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- 1. Holt Algebra 1 7-1 Integer Exponents Language Objective: I will be able to … • Read, write, and listen about vocabulary, key concepts, and examples Lesson Objectives: I will be able to … • Evaluate expressions containing zero and integer exponents • Simplify expressions containing zero and integer exponents
- 2. Holt Algebra 1 7-1 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. 3125 625 125 25 5 5 Power Value 55 54 53 52 51 5–1 50 5–2 5 5 5 When the exponent decreases by one, the value of the power is divided by 5. Continue the pattern of dividing by 5.
- 3. Holt Algebra 1 7-1 Integer Exponents Base x Exponent Remember! 4 Pages 1 – 2
- 4. Holt Algebra 1 7-1 Integer Exponents Example 1: Cooking Application One cup is 2–4 gallons. Simplify this expression. gal is equal to Page 2
- 5. Holt Algebra 1 7-1 Integer Exponents Your Turn 1 A sand fly may have a wingspan up to 5–3 m. Simplify this expression. 5-3 m is equal to Page 2
- 6. Holt Algebra 1 7-1 Integer Exponents Example 2: Zero and Negative Exponents Simplify. A. 4–3 B. 70 7º = 1 Any nonzero number raised to the zero power is 1. C. (–5)–4 D. –5–4 Page 3
- 7. Holt Algebra 1 7-1 Integer Exponents Example 3: Evaluating Expressions with Zero and Negative Exponents Evaluate the expression for the given values of the variables. –2a0 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. Evaluate the powers in the product. Simplify. Page 4
- 8. Holt Algebra 1 7-1 Integer Exponents Your Turn 3 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. Evaluate expressions with exponents. Write the power in the denominator as a product. Evaluate the powers in the product. Simplify. Page 4
- 9. Holt Algebra 1 7-1 Integer Exponents What if you have an expression with a negative exponent in a denominator, such as ? or Definition of a negative exponent. Substitute –8 for n. Simplify the exponent on the right side. 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. An expression that contains negative or zero exponents is not considered to be simplified. Expressions should be rewritten with only positive exponents.
- 10. Holt Algebra 1 7-1 Integer Exponents Simplify. Example 4: Simplifying Expressions with Zero and Negative Numbers A. 7w–4 B. Page 5
- 11. Holt Algebra 1 7-1 Integer Exponents Your Turn 4 Simplify. Page 5
- 12. Holt Algebra 1 7-1 Integer Exponents Classwork Assignment #1 • Holt 7-1 #2-3 5-6, 8-9, 11, 16-23