Unit 1b Review

1.6 Exponent Rules

100

Write an equivalent expression for 

9^10*9^13

Write your answer as a power.

9^23

200

Write an equivalent expression for 

2^8/2

Write your answer as a power.

2^7

300

Write an equivalent expression for 

(7^-3)^3

Write your answer as a power.

7^-9

or 

1/7^9

400

Write an equivalent expression for 

3^5*8^5

Write your answer as a power.

(3*8)^5

or 

24^5

500

Write an equivalent expression for 

(6n)^7

Write your answer as a power.

6^7n^7

1.7 More Exponent Rules

100

Evaluate the expression 

234^0

1

200

Evaluate the expression 

(-73)^0

1

300

Evaluate the expression 

-0.345^0

-1

400

Write the expression

19^-10

 using positive exponents.

1/19^10

500

Write the expression

1/54^-2

 using positive exponents

54^2

1.8 Estimate to a Power of 10

100

A city has a population of 38,802,500 people. Write the estimated population as a single digit times a power of 10.

4*10^7

200

An atom weighs 0.000007328 grams. Write the estimated weight as a single digit times a power of 10.

7*10^-6

300

On a certain planet, Continent X has an area of

6.23*10^6

 square miles and Continent Y has an area of

6.36*10^7

 square miles. How many times larger is Continent Y than Continent X? Write in scientific notation.

1*10^1

400

According to a survey, the residents of Country A have approximately 179,300,000 dogs and cats as pets. The same survey reports there are about

8*10^8

 dogs and cats as pets in Country B. About how many times greater is the number of dogs and cats in Country B than Country A? Write in scientific notation.

4*10^0

500

The mass of Planet X is 84,600,000,000,000,000,000,000 kilograms. The mass of Planet Y is 502,800,000,000,000,000,000 kilograms. How many times greater is the mass of Planet X than the mass of Planet Y? Write in scientific notation.

1.6*10^2

1.9 Scientific Notation

100

Write

6,230,000

 in scientific notation.

6.23*10^6

200

Write

0.003209

 in scientific notation.

3.209*10^-3

300

Write

8.2*10^4

 in standard form.

82,000

400

Write

4.2306*10^-8

 in standard form.

0.000000042306

500

Write

9.3*10^0

 in standard form.

9.3

1.10 Operations in Scientific Notation

100

Write your answer in scientific notation.

(3.8*10^7)*(1.62*10^2)

6.156*10^9

200

Write your answer in scientific notation.

(10.5*10^-5)/(2.5*10^-2)

4.2*10^-3

300

Write your answer in scientific notation.

(9.6*10^-8)/(2*10^-15)

4.8*10^7

400

Write your answer in scientific notation.

(6.8*10^6)+(3.4*10^6)

1.02*10^7

500

Write your answer in scientific notation.

(14.1*10^5)-(2.9*10^5)

1.12*10^6