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**Division properties of exponents**

Section 7.2

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7.2 Topic Focus I can divide monomials using the properties of exponents I can simplify expressions containing negative and zero exponents

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**Main Question Discovery**

Expand and evaluate the following 𝑥 4 𝑥 3

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**Quotient of Powers Definition**

𝑎 𝑚 𝑎 𝑛 = 𝑎 𝑚−𝑛

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**Use the Quotient of Powers property to simplify the following:**

𝑔 3 ℎ 5 𝑔 ℎ 2 𝑥 3 𝑦 4 𝑥 2 𝑦 𝑘 7 𝑚 10 𝑝 𝑘 5 𝑚 3 𝑝

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How do you feel? Got it! Almost There HELP!!!

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**Main Question Discovery**

Expand and evaluate the following 𝑐 2 𝑑 2

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**Power of a Quotient Definition**

𝑎 𝑏 𝑚 = 𝑎 𝑚 𝑏 𝑚

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**Use the Power of a Quotient property to evaluate the following:**

3 𝑝 4 𝑥 3 5 𝑦 5 𝑥 5 𝑦 6𝑧 2

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How do you feel? Got it! Almost There HELP!!!

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**Main Question Discovery**

Use the Quotient of Powers property to evaluate Expand and evaluate

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**Zero Exponent Property Definition**

𝑎 0 =1

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**Use the Zero Exponent Property to simplify the following:**

𝑥 5 𝑦 0 𝑥 3 𝑏 4 𝑐 2 𝑑 0 𝑏 2 𝑐 12 𝑚 8 𝑛 7 8 𝑚 5 𝑛

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How do you feel? Got it! Almost There HELP!!!

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**Main Question Discovery**

Use the Quotient of Powers property to evaluate 𝑐 2 𝑐 5 Expand and evaluate 𝑐 2 𝑐 5

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**Negative Exponent Property Definition**

𝑎 −𝑚 = 1 𝑎 𝑚

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**Use the Negative Exponent Property to simplify the following:**

2 −4 1 𝑥 −3

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**Use all multiplication and division properties to simplify the following:**

𝑛 −5 𝑝 4 𝑟 −2 𝑣 −3 𝑤 𝑥 2 𝑤 𝑦 −6 3 𝑎 2 𝑏 −5 𝑐 3 −9 𝑎 7 𝑏 −2 𝑐 −3

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How do you feel? Got it! Almost There HELP!!!

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**Team Points Challenge #1**

Simplify 5 𝑟 −3 𝑡 4 −20 𝑟 2 𝑡 7 𝑢 5

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**Team Points Challenge #2**

Simplify −10 𝑎 2 𝑏 3 𝑐 −5 2 𝑎 −3 𝑏 −1 𝑐 −4

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**Team Points Challenge #3**

Simplify 2 𝑥 2 𝑦 4 −1 5 𝑥 −2 𝑦 −7

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