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4.1 Properties of Exponents PG. 107

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Must Have the Same Base to Apply Most Properties

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“Product of Powers” “Power of a Power” “Power of a Product” Properties of Exponents

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“Negative Exponent” “Zero Exponent” Properties of Exponents

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“Quotient of Powers” “Power of a Quotient” Properties of Exponents

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Investigating Math Activity (p. 101)

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GUIDED PRACTICE for Examples 1 and 2 Evaluate the expression. Tell which properties of exponents you used. 1. (4 2 ) 3 4096 ; Power of a power property 2. (–8)(–8) 3 4096 ; Product of a powers property 3. 2 3 9 8 729 ; Power of a quotient property ANSWER

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WARM-UP Standardized Test Practice SOLUTION

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GUIDED PRACTICE for Examples 3, 4, and 5 Simplify the expression. Tell which properties of exponents you used. 5. x –6 x 5 x 3 x 2 ; Product of powers property 6. (7y 2 z 5 )(y –4 z –1 ) 7z 4 y2y2 ; Product of powers property, Negative exponent property ANSWER

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GUIDED PRACTICE for Examples 3, 4, and 5 7. s 3 2 t –4 s6t8s6t8 ; Power of a power property, Negative exponent property 8. x 4 y –2 3 x3y6x3y6 ; Quotient of powers property, Power of a Quotient property, Negative exponent property x3 x3 y 24 ANSWER

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SCIENTIFIC NOTATION Is in the form c x 10 n C is a number between 1 and 9.99………. n is an integer Positive = bigger number (move right) Negative = smaller number (move left)

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SCIENTIFIC NOTATION Examples… Ex 1) 1,200 Ex 2) 0.0004 Ex 3) 31,200,000

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Multiplying Scientific Notation Examples… Ex 4) (3.2 x 10 3 ) (1.4 x 10 2 ) Ex 5) (2.7 x 10 4 ) 2 Ex 6) (2.2 x 10- 5 ) (7.4 x 10 3 )

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GUIDED PRACTICE for Examples 1 and 2 6 10 – 4 9 10 7 4. ; quotient of power property 2 3 10 11 ANSWER

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Homework Pg. 110, 1 – 32 all

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