IM 8.7.8 Lesson: Combining Bases

[size=150]Evaluate [/size][math]5^{^3}\cdot2^{^3}[/math]
[size=150]Evaluate [math]10^{^3}[/math][/size]
The table contains products of expressions with different bases and the same exponent. Complete the table to see how we can rewrite them. Use the “expanded” column to work out how to combine the factors into a new base.
Can you write [math]2^3\cdot3^{^4}[/math] with a single exponent?
What happens if neither the exponents nor the bases are the same? Explain or show your reasoning.
There is an applet below for creating a visual display to play a game. Divide the display into 3 columns, with these headers:
[br][table][tr][td][math]a^n\cdot a^m=a^{n+m}[/math][/td][td][math]\frac{a^n}{a^m}=a^{n-m}[/math][/td][td][math]a^n\cdot b^n=(a\cdot b)^n[/math][/td][/tr][/table][br]How to play:[br][br]When the time starts, you and your group will write as many expressions as you can that equal a specific number using one of the exponent rules on your board. When the time is up, compare your expressions with another group to see how many points you earn.[br][br][list][*]Your group gets 1 point for every [i]unique[/i] expression you write that is equal to the number and follows the exponent rule you claimed.[/*][*]If an expression uses negative exponents, you get 2 points instead of just 1.[/*][*]You can challenge the other group’s expression if you think it is not equal to the number or if it does not follow one of the three exponent rules.[/*][/list][br]How many points did you earn?[br]
[size=150]You have probably noticed that when you square an odd number, you get another odd number, and when you square an even number, you get another even number. Here is a way to expand the concept of odd and even for the number 3. Every integer is either divisible by 3, one [i]more[/i] than a multiple of 3, or one [i]less[/i] than a multiple of 3.[br][/size][br]Examples of numbers that are one more than a multiple of 3 are 4, 7, and 25. Give three more examples.
Examples of numbers that are one less than a multiple of 3 are 2, 5, and 32. Give three more examples.
Do you think it’s true that when you square a number that is a multiple of 3, your answer will still be a multiple of 3?
How about for the other two categories? Try squaring some numbers to check your guesses.

IM 8.7.8 Practice: Combining Bases

[size=150]Select [b]all [/b]the true statements:[/size]
[size=150]Find [math]x[/math], [math]y[/math], and [math]z[/math] if [math]\left(3\cdot5\right)^4\cdot\left(2\cdot3\right)^5\cdot\left(2\cdot5\right)^{^7}=2^{^x}\cdot3^{^y}\cdot5^{^z}[/math].[/size]
[size=150]Han found a way to compute complicated expressions more easily. Since [math]2\cdot5=10[/math], he looks for [/size][size=150]pairings of 2s and 5s that he knows equal 10. For example, [br][math]3\cdot2^4\cdot5^5=3\cdot2^4\cdot5^4\cdot5=\left(3\cdot5\right)\cdot\left(2\cdot5\right)^4=15\cdot10^4=150,000[/math] [br]Use Han's technique to compute the following:[/size][br][br][math]2^4\cdot5\cdot\left(3\cdot5\right)^3[/math]
[math]\frac{2^3\cdot5^2\cdot\left(2\cdot3\right)^2\cdot\left(3\cdot5\right)^2}{3^2}[/math]
The cost of cheese at three stores is a function of the weight of the cheese. The cheese is not prepackaged, so a customer can buy any amount of cheese.
[list][*]Store A sells the cheese for [math]a[/math] dollars per pound.[br][/*][*]Store B sells the same cheese for [math]b[/math] dollars per pound and a customer has a coupon for $5 off the total purchase at that store.[br][/*][*]Store C is an online store, selling the same cheese at [math]c[/math] dollar per pound, but with a $10 delivery fee.[br][/*][/list][size=150]This graph shows the price functions for stores A, B, and C.[/size][br][br][img]data:image/png;base64,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[/img][br][br]Match Stores A, B, and C with Graphs [math]j[/math], [math]k[/math], and [math]l[/math].
How much does each store charge for the cheese per pound?
How many pounds of cheese does the coupon for Store B pay for?
Which store has the lowest price for a half a pound of cheese?
If a customer wants to buy 5 pounds of cheese for a party, which store has the lowest price?
How many pounds would a customer need to order to make Store C a good option?

Information