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

w^{7} x w^{-9}

1/w^{2}

100

2, 10, 50, 250, ...

r= 5

200

-2xy^{2 }- 4xy + 6xy^{2}

4xy^{2} - 4xy

200

(3.5x10^{3}) - (9x10^{1})

3.41x10^{3}

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/x^{11}

200

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

r= -2

300

-7n^{-4} x 5n^{-2}

-35n^{-6}

300

(5.6x10^{4}) x (4.5x10^{6})

2.52x10^{10}

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

(5y^{2})^{-3}

1/115y^{5}

300

135, 45, 15, 5, ...

r= 1/3

400

(5v^{4})^{2} x 2v^{3} x v

50v^{12}

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

(8p^{5})^{-2}

1/64p^{10}

400

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

r= -2

500

(-a^{6}b)^{2} + 9a^{12}b^{2}

10a^{12}b^{2}

500

(3.9x10^{-12}) / (4x10^{4})

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^{-5}b^{8}c^{-12})(a^{7}b^{-3}c^{7})

a^{2}b^{5}/c^{5}

500

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

r= 4