Division of numbers in exponential form
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Transcript of Division of numbers in exponential form
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HOUSEKEEPING
Yesterday we looked at the multiplication property of exponents. You learned that when multiplying powers with the same bases, you simply add the exponents.
Today & Friday – MAP testing 9:00 am or 2:00 pm
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PROPERTIES OF EXPONENTS
Division
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GOAL FOR TODAY…….
Goal: Be able to apply
properties of exponents to generate equivalent numerical expressions
Agenda: Review –
Multiplication Property
Division Property
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It’s time ….
SHOW WHAT YOU KNOW!
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Your host….
Fran Action
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Question Simplify the expression by writing the product of two powers as one power.
56 53
a.) 259
b.) 59
c.) 518
d.) 253
e.) none of the above
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Winners! Congratulations!!! You just won a piece of gum!
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Thanks for playing!!
Fran Action
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GOAL FOR TODAY…….
Goal: Be able to apply
properties of exponents to generate equivalent numerical expressions
Agenda: Review –
Multiplication Property
Division Property
![Page 10: Division of numbers in exponential form](https://reader036.fdocuments.in/reader036/viewer/2022062412/5883de371a28ab62358b5d45/html5/thumbnails/10.jpg)
5 5 555
53= 5 5 5 5 5 = 5 5 = 52= 5 5 5
5 5 5 5 5
Notice what occurs when you divide powers with the same base.
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5 5 555
53= 5 5 5 5 5 = 5 5 = 52= 5 5 5
5 5 5 5 5
Notice what occurs when you divide powers with the same base.
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What’s the Rule?
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75
73
Example: Dividing Powers with the Same Base
Divide. Write the quotient as one power.
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Subtract exponents.7275 – 3
75
73
Example: Dividing Powers with the Same Base
Divide. Write the quotient as one power.
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Example: Dividing Powers with the Same Base
Divide. Write the quotient as one power.
x9
x10
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Example: Dividing Powers with the Same Base
Divide. Write the quotient as one power.
x9
x10
Subtract exponents.x9-10
x Think: x = x1-1
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3-5
3-2
Example: Dividing Powers with the Same Base
Divide. Write the quotient as one power.
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3-5
3-2
Example: Dividing Powers with the Same Base
Divide. Write the quotient as one power.
Subtract exponents.3 -33 -5 – (-2)
* Use caution with negative exponents!!!
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Example: Dividing Powers with the Same Base
Divide. Write the quotient as one power.
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Example: Dividing Powers with the Same Base
Divide. Write the quotient as one power.
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Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.
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Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.
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Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.
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Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.
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Example: Multiplication & Division with Exponents
Simplify. Express your answer as a single term, without a denominator
𝑞4
𝑞5 ∙𝑞3
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Example: Multiplication & Division with Exponents
Simplify. Express your answer as a single term, without a denominator
𝑑3 ∙𝑑9
𝑑5
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Example: Multiplication & Division with Exponents
Simplify. Express your answer as a single term, without a denominator
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Example: Multiplication & Division with Exponents
Simplify. Express your answer as a single term, without a denominator
![Page 29: Division of numbers in exponential form](https://reader036.fdocuments.in/reader036/viewer/2022062412/5883de371a28ab62358b5d45/html5/thumbnails/29.jpg)
GOAL FOR TODAY…….
Goal: Be able to apply
properties of exponents to generate equivalent numerical expressions
Agenda: Review –
Multiplication Property
Division Property
![Page 30: Division of numbers in exponential form](https://reader036.fdocuments.in/reader036/viewer/2022062412/5883de371a28ab62358b5d45/html5/thumbnails/30.jpg)
WRAP UP
If you have the same bases, add the exponents when multiplying.
If you have the same bases, subtract the exponents when dividing