Overall Info
In this equation, what do we call the "2"
2^3
The base
What is the equation for when Alice, who is 5 feet tall eats base 2 cake
5 x 2^C
What are the two ways you can write out the equation for when Alice (at her original height) drinks base 2 beverage
5 x (1/2)B
5 divide 2^B
If Alice is 5 feet tall and eats 3 ounces of base 2 cake then drinks 2 ounces of base 2 beverage, write the equation and explain what we do to simplify the exponents.
5 times 2^3 divide 2^2 =
5 times 2^1
Which axis should height always be on, the x or the y
The "y" (we measure height in real life up to down)
What is anything to the power of "0"...
5^0
ONE!!!!!
When Alice eats 3 ounces of base 2 cake and then 4 more ounces of base 2 cake, how do we simplify the exponents?
We add them!
2^3 x 2^4 = 2^3+4 = 2^7
Alice drinks 3 ounces of base 5 beverage then drinks 6 ounces of base 5 beverage. What is the equation and how do we simplify our exponents
5 divide 5^3 divide 5^6 = 5 divide 5^9
5 times (1/5)^3 times (1/5)^6 = 5 times (1/5)^9
What do negative exponents do?
Flips it, makes fractions
How do we figure out how to make our scale on the y axis?
Take your biggest number and divide it by the number of lines in your graph
When Alice eats the same amount of base 3 cake for 5 meals in a row, lets say 6 ounces every meal, how do we set up the equation to solve this?
(There are 2 answers)
5 x (36)5 = 5 x 330
5 x 36 x 36 x 36 x 36 x 36 = 5 x 330
Write this equation using positive exponents
x^-3/4^-2
4^2/x^3
16/x^3
Do we use the "out" numbers from our in/out table as our exact scale for our y axis?
NO!!!!
Alice is 40 feet tall. She eats 1 ounce of base 2 cake, then drinks 4 ounces of base 2 beverage. Write the equation of this situation using negative exponents. How tall is she?
40 times 2^1 divide 2^4 = 40 times 2^-3 = 5