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Warm Up Simplify 𝑦 −3 𝑥 −5 𝑥 3 𝑧 −2 𝑦 2 𝑤 −4 v 0
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Continued … 6.1 Zero and Negative Exponents
EQ: What are the benefits of using power properties in exponentials?
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Multiplying Powers w/ Same Base
𝑎 𝑚 ∙ 𝑎 𝑛 = 𝑎 𝑚+𝑛
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Multiplying Powers w/ Same Base
Simplify 2 𝑐 ∙2 𝑐 = 9 −3 ∙ 9 2 ∙ 9 6 = 5 𝑥 4 ∙ 𝑥 9 ∙3𝑥= (−4 𝑐 3 ∙7 𝑑 2 )(2 𝑐 −2 ∙𝑑)=
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Raising a Power to a Power
(𝑎 𝑚 ) 𝑛 = 𝑎 𝑚∙𝑛
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Raising a Power to a Power
Simplify 𝑤 −2 𝑤 = 𝑥 2 𝑥 6 −4 = 𝑥 −5 − ( 𝑥 )= 𝑧 𝑧 =
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Raising a Product to a Power
(𝑎𝑏) 𝑛 = 𝑎 𝑛 𝑏 𝑛
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Raising a Product to a Power
Simplify 2𝑧 −4 = (7 𝑚 9 ) 3 = 3 𝑔 4 −2 = 6𝑎𝑏 𝑎 −3 2 =
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Exit Ticket Simplify 𝑥 𝑥 𝑦 6 4
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