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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Warm Up
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Properties of Exponents (p. 86) EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact.
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Key terms Base- the ________ number; ex:, ____ is the _______. Exponent- the ____________ number; ex:, ____ is the _________. Power- the ________ as an exponent; ex:, ____ is the _________.
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Properties Given ExpressionVerbal DescriptionAction to Simplify # 1 ___Multiply “like” bases _____ the exponents # 2 ____ Power to a power (2 exponents) ________ the exponents # 3 ____Product to a power ___________ the outside exponent to all ________ exponents
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Simply: Example 1: Example 2: Example 3:
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Simplify Example 4 Example 5 Example 6
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Example 7 Example 8
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Properties Given ExpressionVerbal DescriptionAction to Simplify # 4 ____Divide “like” bases ________ the exponents # 5 ____Quotient to a power ___________ the outside exponent to all ________ exponents
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Examples 912 1013 1114
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Properties Given Expression Verbal DescriptionAction to Simplify # 6__ Any number to the “0” power _____________________ # 7 __Negative exponent Flip (reciprocal) the _____ and its ________ (the ________ becomes ________)
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Examples 1518 1619 1720
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Explore Negative Exponents and 0 43210-2-3 2 3 4 BaseBase Exponent
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact.
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EQ: What are the properties of exponents and how can we simplify them? Assessment: Students will explain the concept of base and power and how their properties interact. Write a summary!
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