Product Prop
Quotient Prop
Power of Powers Prop
Negative Exponents
Scientific Notation
100
Keeping your answer in positive exponents, simplify:
y3⋅7y3
7y6
100
Keeping your answer in positive exponents, simplify:
x8/x7
x
100
Keeping your answer in positive exponents, simplify:
(a3)4
a12
100
Keeping your answer in positive exponents, simplify:
p-3
1/p3
100
What is .000078 in scientific notation?
7.8 x 10-5
200
Keeping your answer in positive exponents, simplify:
34 ⋅ 32
36
200
Simplify to the fullest:
2.72 =
200
Keeping your answer in positive exponents, simplify:
(n2)-3
1/n6
200
Keeping your answer in positive exponents, simplify:
6m-5
6/m5
200
What is 6.022 x 104 in standard notation?
60,220
300
Keeping your answer in positive exponents, simplify:
(3-4)(32)
3-2 =
300
Simplify to the fullest:
1
300
Keeping your answer in positive exponents, simplify:
(x2y5)2
x4y10
300
Keeping your answer in positive exponents, simplify:
(x3)-10
1/x30
300
In 2010, Americans generated 2.5×108 tons of garbage. There are about 2,000 landfills in the United States. Assuming that each landfill is the same size and that trash is divided equally among them, determine how many tons of garbage were sent to each landfill in 2010. Why does it make sense to represent the solution in tons instead of pounds or ounces?
125,000 or 1.25 x 105
400
Keeping your answer in positive exponents, simplify:
(5x2y7)(−2x3y)
-10x5y8
400
Simplify to the fullest:
(-v)/(-2v3)
1/(2v2)
400
Keeping your answer in positive exponents, simplify:
(3k3)2
9k6
400
Keeping your answer in positive exponents, simplify:
5x-3y4
5y4/x3
400
A social media company processes about 990 billion “likes” per year. The company has approximately 9 × 108 users on social media. If the “likes” were distributed evenly among the users, about how many “likes” does each user have? Write your answer in scientific and standard notation.
1,100 or 1.1 x 103
500
Simplify to the fullest:
(-23)((-2)3)2
(-2)9
500
Simplify to the fullest:
(8x3y2)/(-8x3y3)
(-x/y) or -(x/y) or (x/-y)
500
Keeping your answer in positive exponents, simplify:
(x-3y3)4
y12/x12
500
Keeping your answer in positive exponents, simplify:
1/3x-6
x6/3
500
The state of Maryland has an area of approximately 
about 3.06 x 102 or 3 x 102