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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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1.Be able to divide polynomials 2.Be able to simplify expressions involving powers of monomials by applying the division properties of powers.

1.Be able to divide polynomials 2.Be able to simplify expressions involving powers of monomials by applying the division properties of powers.

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