IM 8.7.1 Lesson: Exponent Review

Which expression does not belong? Explain how you know.
[table][tr][td][math]2^3[/math][/td][td][/td][td][math]3^2[/math][/td][/tr][tr][td][/td][td][/td][td][/td][/tr][tr][td][math]8[/math][/td][td][/td][td][math]2^2\cdot2^1[/math][/td][/tr][/table]
Mai and Andre found an old, brass bottle that contained a magical genie. They freed the genie, and it offered them each a magical $1 coin as thanks.
[size=150][list][*]The magic coin turned into 2 coins on the first day.[/*][*]The 2 coins turned into 4 coins on the second day.[/*][*]The 4 coins turned into 8 coins, on the third day.[/*][/list]This doubling pattern continued for 28 days.[/size]
[size=150]Mai was trying to calculate how many coins she would have and remembered that instead of writing [math]1\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2[/math] for the number of coins on the 6th day, she could write [math]2^6[/math].[/size][br][br]The number of coins Mai had on the 28th day is very, very large. Write an expression to represent this number without computing its value.
Click on the arrow to see the coins start to magically multiply.
Andre’s coins lost their magic on the 25th day, so Mai has a lot more coins than he does. How many times more coins does Mai have than Andre?
After a while, Jada picks up a coin that seems different than the others. She notices that the next day, only half of the coin is left!
[size=150][list][*]On the second day, only [math]\frac{1}{4}[/math] of the coin is left.[/*][*]On the third day, [math]\frac{1}{8}[/math] of the coin remains.[/*][/list][/size][br]What fraction of the coin remains after 6 days?
What fraction of the coin remains after 28 days? Write an expression to describe this without computing its value.
Watch the magical coin changing for ten days with this applet.
Does the coin disappear completely? If so, after how many days?
Every animal has two parents. Each of its parents also has two parents. Draw a family tree showing an animal, its parents, its grandparents, and its great-grandparents.
[size=150][size=100]We say that the animal’s eight great-grandparents are “three generations back” from the animal. [/size][/size]At which generation back would an animal have 262,144 ancestors?

IM 8.7.1 Practice: Exponent Review

Write each expression using an exponent:
Evaluate each expression:
[math]2^5[/math]
[math]3^3[/math]
[math]4^3[/math]
[math]6^2[/math]
[math]\left(\frac{1}{2}\right)^4[/math]
[math]\left(\frac{1}{3}\right)^2[/math]
[size=150]Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn’t touch the money in her account, she can find the amount she’ll have the next year by multiplying her current amount by 1.03.[br][/size][br]How much money will Clare have in her account after 1 year? After 2 years?
How much money will Clare have in her account after 5 years? Explain your reasoning.
Write an expression for the amount of money Clare would have after 30 years if she never withdraws money from the account.
The equation [math]y=5,280x[/math] gives the number of feet, [math]y[/math], in [math]x[/math] miles. What does the number 5,280 represent in this relationship?
The points [math](2,4)[/math] and [math](6,7)[/math] lie on a line. What is the slope of the line?
[size=150]The diagram shows a pair of similar figures, one contained in the other. Name a point and a scale factor for a dilation that moves the larger figure to the smaller one.[/size][br][br][img]data:image/png;base64,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[/img]

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