First law of exponents
Exponential Notation
Laws of Exponents
Scientific Notation
operations in Scientific Notation
100

Solve:

32 x 36

32+6= 38

100

Write in exponential Notation

5 x 5 x 5 x 5 x 5

55

100

Evaluate the expression

40

=1

100

Is this number in scientific notation? If not, explain.

1.2654 x 105

Yes

100

(3.3 x 105) + (4.2 x 105)

(3.3 + 4.2) x 105= 7.5 x 105

200

Solve 

107/104

107-4=103

200

Write in exponential notation

(-2) x (-2) x (-2) x (-2) x (-2) x (-2) x (-2)

(-2)7

200

(56)2

56 x 2= 512


same as saying 56 x 56= 56+6 = 512

200

Is this number in Scientific notation? If not, explain.

.098745 x 104

No because the decimal is not between 1 and 10.

200

(5.8 x 107) - (3.3 x 107)

(5.8-3.3) x 107= 2.5 x 107

300

Simplify. Keep answer in exponential notation.

cx 5 x cx 53 x c

c2+4+1 x 51+3 = c7 x 54

300

Write in expanded form

C3 x 64

C x C x C x 6 x 6 x 6 x 6

300

Write the following number in Scientific Notation

.000000000989234

9.89234 x 1010

300

Mrs. Anderson makes $200,000 each year.  If Mrs. Anderson continues to make the same amount each year, how much money would she have after 12 years (1.2 x 101)?

(2 x 105) x (1.2 x 101) = (2 x 1.2) x (105 x 101)=

2.4 x 105+1=2.4 x 106

400

In a storage warehouse, each container weighs 63 pounds.  If there are 6containers, how much do the containers weigh in all? Leave answer in exponential form. 

63 x 65= 6pounds

400

Which expressions are equal to y-3

a. y7 x y-10

b. y-4/y-7

c. 1/y3

d. y7 x y4



a & c

400

The population in Copperopolis is approximately 88,000.  Only 44,000 people golf. There are 

2.2 x 102 golf balls from each person that plays golf at the bottom of the lake from missing the hole. How many total golf balls are at the bottom of the lake? Write answer in scientific notation. 

(4.4 x 104) x (2.2 x 102) = (4.4 x 2.2) x (104 x 102)

= 9.68 x 104+2 = 9.68 x 106

500

Mrs. Harding regularly volunteers at a local shelter.  She unexpectedly was given a very large amount of diamonds.She would like to share these diamonds with the members of the shelter. She has 311 diamonds that she will be sharing with members she helps at the shelter.  There are 3members that she services at the shelter.  How many diamonds will each member get? Leave answer in exponential form

311/33= 311-3=38 

Each member will get 38 diamonds