What is the rule for the Zero Exponent Property?
a0=1
a≠0
What is the rule for the Negative Exponent Property?
a-n=1an
What is the rule for the product of powers?
What is the rule for the power of products?
product of powers
am+an=am+n
power of products
an⋅bn=(a⋅b)n
On a road trip you drove from the Grand Canyon to Yosemite National park, 750 miles, in 12 hours. Then from Yosemite to Zion National park, 480, in 7 hours. Then from Zion to Olympic National park, 1000 miles, in 18 hours. What stretch of the trip were you travelling the fastest?
G.C --> Yosemite = 62.5 M.P.H.
Yosemite --> Zion = 68.57 M.P.H.
Zion --> Olympic = 55.55 M.P.H
You traveled the fastest from Yosemite to Zion.
Which famous artist painted the "Starry Night"?
a) Claude Monet
b) Pablo Picasso
c) Vincent van Gogh
d) Leonardo da Vinci
Vincent van Gogh
Use the quotient of powers to prove that any number to the zero power equals 1.
Create your own example!
x3x3=x3-3=x0=1
Use the quotient of powers to prove the negative exponent rule?
Create your own example. Write out your expression in expanded form. !
t5t7=t⋅t⋅t⋅t⋅tt⋅t⋅t⋅t⋅t⋅t⋅t=1t2
t5t7=t5-7=t-2=1t2
What is the rule for the Property of Power of Powers?
What is the rule for the Property of Quotient of Powers?
Power of Powers
(am)n=am⋅n
Quotient of Powers
aman=am-n
Solve the following inequality.
-8(x+2)>44
-8(x+2)>44
-8x-16>44
-8x>60
x<-7.5
What is the name of the bounty hunter who captures Han Solo in "The Empire Strikes Back"?
a) Jango Fett
b) Boba Fett
c) Greedo
d) Dengar
Boba Fett
Use consistency in patterns prove that anything to the zero power equals 1?
Teacher judged
Rewrite each exponent using the negative exponent porperty.
1t6=
1x-5
x-3
1t6=t-6
1x-5=x5
x-3=1x3
Which expressions are equivalent to
32⋅92
32⋅(32)2
272
274
122
32⋅(32)2
272
A cube has 6 faces that have a total surface area of 864 units squared. What is the volume of the cube.
8646=144
Each face has an area of 144 units squared.
√144=12
The side length is 12.
123=1728
The total volume is 1728 units cubed.
What are the names of Mr. Greenbaums dogs?
Ziggy and Zuzu
y0⋅y0+8=
y0⋅y0+8=9
Solve
4-2⋅3-2⋅122
4-2⋅3-2⋅122=1
Generate 4 expressions equal to
(x12x4)⋅x12
Teacher judged
Is the table proportional? If yes, what is the constant of proportionality. If no, what is one cell you could change to make it proportional?
No. Change the 30 to 40.
What is the name of the largest moon of Saturn?
a) Europa
b) Ganymede
c) Io
d) Titan
Titan