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8.2 Zero and Negative Exponents Goal Evaluate powers that have zero or negative exponents. Key Words zero exponent negative exponent reciprocal

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Warm Up Simplify the expressions: 1.(y 2 x y 5 ) y 4 2. (2xy) 2 3. k 9 /k 2 4. (1/8) 2 5. (x 2 ) 20 6.Number 5 uses the “Power of a Power” rule. Complete the sentence: A power of a power is so powerful… _________________ 7.What does it mean to simplify?

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Homework Questions?

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Reciprocal???

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Observe the chart. Establish a pattern. Can you predict the last three values? 2 4 2 3 2 2 1 2 0 2 -1 2 -2

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a to the zero power is 1 a -n is the reciprocal of a n a n is the reciprocal of a -n Algebra: Example: a 0 = 1, a ≠ 0 a -n = 1 a n a ≠ 0 a n = 1 a -n a ≠ 0

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EXAMPLE 1 Powers with Zero Exponents Evaluate the expression. a. b. c. d.

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EXAMPLE 2 Powers with Negative Exponents Evaluate the expression. a. b.

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Evaluate the expression. Checkpoint Evaluate Exponential Expression 1. 2. 3. 4.

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EXAMPLE 3 Evaluate Exponential Expressions Evaluate the expression. a. b. c.

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Evaluate the expression. Checkpoint Evaluate Exponential Expression 5. 6. 7.

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EXAMPLE 4 Evaluate Expressions with a Calculator Use a calculator to evaluate the expression. 8. 9. 10.

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EXAMPLE 5 Simplify Exponential Expressions Rewrite the expression with positive exponents. a. b. c.

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Simplify the expression. Checkpoint Evaluate Exponential Expression 11. 12. 13.

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Homework: Pg. 506/ 4-12,15, 19, 23, 28, 32, 36

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