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6-1. Integer Exponents. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 1. Holt Algebra 1. Warm Up Evaluate each expression for the given values of the variables. 1. x 3 y 2 for x = –1 and y = 10 2. for x = 4 and y = (–7)

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

  2. Warm Up Evaluate each expression for the given values of the variables. 1.x3y2 for x = –1 and y = 10 2. for x = 4 and y = (–7) Write each number as a power of the given base. 3. 64; base 4 4. –27; base (–3)

  3. Objectives Evaluate expressions containing zero and integer exponents. Simplify expressions containing zero and integer exponents.

  4. RECALL: Positive exponents. To simplify 32, use 3 as a factor 2 times: 32 = ??? VOCABULARY Positive exponents EXPONENT BASE

  5.  5  5  5  5 ZERO OR NEGATIVE EXPONENTS look for a pattern to figure it out. 55 54 53 52 51 50 5–1 5–2 625 3125 125 25 5 When the exponent decreases by one, the value of the power is divided by 5. = = =

  6. VOCABULARY Zero Exponents – Any nonzero number raised to the zero power is 1. Examples:

  7. VOCABULARY Negative Exponents– A nonzero number raised to a negative exponent is equal to 1 divided by that number raised to the opposite (postive) exponent. Example:

  8. Why “nonzero number” in the previous definition?

  9. Reading Math 2–4 is read “2 to the negative fourth power.”

  10. gal is equal to Example 1: Application One cup is 2–4 gallons. Simplify this expression.

  11. Try this one yourself!!! A sand fly may have a wingspan up to 5–3 m. Simplify this expression.

  12. TRY THESE YOURSELF!!! Simplify. A. 4–3 B. 70 7º = 1 C. (–5)–4 D. –5–4 E. (–2)–5

  13. Caution In (–5)–4, the base is negative because the negative sign is inside the parentheses. In –5–4the base (5) is positive.

  14. Use the definition Example 2 Evaluate the expression for the given value of the variables. x–2 for x = 4 Substitute 4 for x.

  15. Example 3: Try another yourself!!! 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.

  16. for a = –2 and b = 6 Try these yourself!!! Evaluate the expression for the given value of the variable. 1.) p–3for p = 4 2.)

  17. What if you have an expression with a negative exponent in a denominator, such as ? *Move the denominator to the top and change the sign **An answer with a negative exponent IS NOT simplified fully

  18. B. Example 4: Together Simplify. A. 7w–4

  19. and Example 4: Simplifying Expressions with Zero and Negative Numbers Simplify. C.

  20. PRACTICE: ON YOUR OWN Simplify. a. 2r0m–3 b. c.

  21. 6.1 HOMEWORK PG. 395 - 397 #24-42(all), 44-66(evens), 78-83, 100

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