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7.3 Multiplication properties of exponents (continued) Presented by Ms. Ngo

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= a m a m … a m 1) When you have power raised to another power… n groups of m factors Use the…. Simplify. Example 4 Power of a Powers Property p. 3 of your Notes Objective: SWABT to use rules of exponent (multiplication)

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Simplify (p 2 ) 4 1.p 2 2.p 4 3.p 8 4.p 16 Objective: SWABT to use rules of exponent (multiplication)

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GUIDED PRACTICE Objective: SWABT to use rules of exponent (multiplication)

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Example 5 GUIDED PRACTICE Objective: SWABT to use rules of exponent (multiplication)

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When you have a power outside of a parenthesis, everything in the parenthesis is raised to that power Power of Products 1) (2a) 3 2) (3x) 2 = 2 3 a 3 = 8a 3 = 3 2 x 2 = 9x 2 Objective: SWABT to use rules of exponent (multiplication)

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Simplify (4r) 3 Guided Practice 1.12r 3 2.12r 4 3.64r 3 4.64r 4 Objective: SWABT to use rules of exponent (multiplication)

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Combination of Rules 1)(x 3 y 2 ) 4 =(x 3 ) 4 (y 2 ) 4 =x 3 4 y 2 4 = x 7 y 8 Power of a Product Property Power of a Power Property Simplify. Objective: SWABT to use rules of exponent (multiplication)

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Simplify (3a 2 b 3 ) 4 Guided Practice 1.12a 8 b 12 2.81a 6 b 7 3.81a 16 b 81 4.81a 8 b 12 Objective: SWABT to use rules of exponent (multiplication)

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How can properties of exponents be used to multiply powers with same base? How can properties of exponents be used to simplify a power raised to a power? HW WB, p. 43 (Box examples) 1.3 4 3 2 8. (h 2 ) 5 Objective: SWABT to use rules of exponent (multiplication)

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How can properties of exponents be used to simplify a product raised to a power? HW WB, p. 43 (Box examples) 16. (-5K) 2

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Assignments For class-work: Finish up last Friday’s class-work assignment p. 412 Textbook, 1-4, 6-11 on lined paper. For homework: p. 43 HW WB, 7-19, 22. Show your work! Objective: SWABT to use rules of exponent (multiplication)

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Exit Ticket Write: 3 things you learned today. 2 questions you have about lesson. 1 connection you’d like to share

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1 Simplifying Exponents Likewise, 5 · 5 · 5 · 5 = 5 4, because there are four 5’s being multiplied together. Power – a number produced by raising a base.

1 Simplifying Exponents Likewise, 5 · 5 · 5 · 5 = 5 4, because there are four 5’s being multiplied together. Power – a number produced by raising a base.

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