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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  square miles. The United States has an area of approximately  square miles. Approximately how many times larger is the United States than the state of Maryland?

about 3.06 x 102 or 3 x 102