# Division properties of exponents

## Presentation on theme: "Division properties of exponents"— Presentation transcript:

Division properties of exponents
Section 7.2

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

Main Question Discovery
Expand and evaluate the following 𝑥 4 𝑥 3

Quotient of Powers Definition
𝑎 𝑚 𝑎 𝑛 = 𝑎 𝑚−𝑛

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

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

Main Question Discovery
Expand and evaluate the following 𝑐 2 𝑑 2

Power of a Quotient Definition
𝑎 𝑏 𝑚 = 𝑎 𝑚 𝑏 𝑚

Use the Power of a Quotient property to evaluate the following:
3 𝑝 4 𝑥 3 5 𝑦 5 𝑥 5 𝑦 6𝑧 2

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

Main Question Discovery
Use the Quotient of Powers property to evaluate Expand and evaluate

Zero Exponent Property Definition
𝑎 0 =1

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

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

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

Negative Exponent Property Definition
𝑎 −𝑚 = 1 𝑎 𝑚

Use the Negative Exponent Property to simplify the following:
2 −4 1 𝑥 −3

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

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

Team Points Challenge #1
Simplify 5 𝑟 −3 𝑡 4 −20 𝑟 2 𝑡 7 𝑢 5

Team Points Challenge #2
Simplify −10 𝑎 2 𝑏 3 𝑐 −5 2 𝑎 −3 𝑏 −1 𝑐 −4

Team Points Challenge #3
Simplify 2 𝑥 2 𝑦 4 −1 5 𝑥 −2 𝑦 −7