Simplifying Monomials
Scientific Notation
Exponential Growth & Decay Applications
Negative Exponents
Identifying a Geometric Sequence
100

6ab - 8ab

-2ab

100

(8.6x10-4) + (6.7x10-5)

9.27x10-4

100

The population of the city is 422,000 and increases by 12% each year. Use an exponential function to find the population of the city after 8 years.

y=a(1+r)t

1,044,856 people

100

w7 x w-9

1/w2

100

2, 10, 50, 250, ...

r= 5

200

-2xy- 4xy + 6xy2

4xy2 - 4xy

200

(3.5x103) - (9x101)

3.41x103

200

A car bought for \$13,000 goes down 15% per year. Use an exponential function to find the value of the car after 5 years.

y=a(1-r)t

\$5,768.17

200

6x-8 x -3x-3

-18/x11

200

80, -40 ,20 ,-10, ...

r= -2

300

-7n-4 x 5n-2

-35n-6

300

(5.6x104) x (4.5x106)

2.52x1010

300

Roger purchased a painting in 2006 for \$1,250. Since then, its value has increased by 6% each year. Use an exponential function to find the value of the painting in 2017.

y=a(1+r)t

\$2,372.87

300

(5y2)-3

1/115y5

300

135, 45, 15, 5, ...

r= 1/3

400

(5v4)2 x 2v3 x v

50v12

400
(7.6x10-7) x (8.9x10-2)

6.76x10-8

400

In 2000 Florida's population was 16 million. Since 2000, the state's population has grown about 2% each year. This means that Florida's population is growing exponentially. Find Florida's population in 2006.

18,018,598 people

400

(8p5)-2

1/64p10

400

7, -14, 28, -56, ...

r= -2

500

(-a6b)2 + 9a12b2

10a12b2

500

(3.9x10-12) / (4x104)

9.75x10-17

500

The original value of an investment is \$1,400 and the value increases by 9% each year. use an exponential growth function to find the value of the investment after 25 years.

y=a(1+r)t

\$12,072.31

500

(a-5b8c-12)(a7b-3c7)

a2b5/c5

500

-9, -36, -144, -576, ...

r= 4