Zero/Negative Exp
Sci Notation
Multiplying with Exponents
Dividing with Exponents
Exp Functions; Growth/Decay
100

(-4.79)0

1

100

1,350,000 in scientific notation.

1.35 x 106

100

5-2 x 54

5or 25

100

77/75

72 = 49

100

Explain how this is an exponential function:

x: 1 **  2  **  3   **   4

y: 5 ** 25 ** 125 ** 625

Multiplying by 5 each time; 5 is base being raised to a power

200

-(4)-2

-1/16

200

0.00567 in scientific notation

5.67 x 10-3

200

Evaluate: 2x-3y-1 for x = -1 and y = 4

-1/2

200

t3/t8

t-5 = 1/t5

200

Identify as exponential or not and defend your reason.

y = -2x8

No, x is not in the exponent

300

2/b-4

2b4

300

List in order least to greatest:

4 x 104, 1.5 x 10-1, 2 x 104, 1.2 x 10-2

1.2 x 10-2, 1.5 x 10-1, 2 x 104, 4 x 104

300

(k-2)-5 k12

k22

300

x3y4z5 / x2y6z1

xz4/y2

300

Suppose an investment of $2,300 doubles in value every decade. The function  gives the value of the investment after x decades. How much is the investment worth after 2 decades?

$9,200

400

-1/x-3

-(x3)

400

(3 x 107) (4 x 10-3) in simplified form

1.2 x 105

400

([2/3]b4)2

2b4 over 3, all to the second power

4b8/9

400

5.4 x 1012 / 1.2 x 103

4.5 x 109

400

A lab is growing bacteria in a culture dish. The amount of bacteria in the dish doubles every 5 hours. Initially, there are 300 bacteria in the dish. How many are in the dish after 15 hours?

y = a * bx

2,400 bacteria

300 x 23

500

(5/37b-4)0

1

500

Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88 × 1012 miles. Suppose a star is 4.2 × 102 light-years from Earth. Approximate that in miles, in scientific notation.

2.4696 x 1015

500

a4b-2c x ab5c3

a5b3c4

500

(2x6/y4)-3

y12/8x18

500

A car costs $32,000 and depreciates in value by 20% per year. How much will the car be worth after 4 years?


$13,107.20

32,000 x (1-.2)4

32,000 x (.8)4

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