Exponential Growth/Decay
Product of Powers
Quotient of Powers
Power of Powers
Negative and Zero Exponents
100

Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.

What is y= 422,000(1+.12)^t

100
You do this to the exponents to multiply powers with the same base.
What is add.
100
You do this to the exponents when dividing powers with the same base.
What is subtract
100
You do this to the exponents when finding the power to a power.
What is multiply
100
Any number raised to the zero power is
What is 1
200

y = 9.8(1.35)^t What is the growth rate?

What is 35%

200

Simplify: 52 x 56

What is 58

200

Simplify: 25/22

What is 23 or 8

200

Simplify: (z11)5

What is z^55

200

20

What is 1

300

The fish in The Magic Forest Lake were declining at an annual rate at 1.5%. Their current number is estimated at 2500. Write an equation to predict the number of fish in the lake in 10 years.

What is y = 2500(.985)^10

300

Simplify: 2x2 times 4x3

What is 8x5

300

Simplify: w3/w8

What is 1/w5

300

Simplify: (43)2

What is 46

300

(-12x2y-9z)0

What is 1.

400

You purchased a used truck for $15,000. The value of the truck will decrease each year because of depreciation. The truck depreciates at the rate of 8% per year. Write an exponential decay model to represent the real-life problem and estimate the value of the truck in seven years? 

 $8,367,70

400

Simplify: (8x3)(-3x9)

What is -24x12

400

18a7/6a3

What is 3a4

400

Simplify: (14y)4

What is 38416y^4

400

(-2x4y-1z-9)-2

What is y2z18/4x8

500

A health club had a declining enrollment from 1995 to 2000. The enrollment in 1995 was 1285 people. Each year for the next five years, the enrollment for the health club decreased by 2.3%.

 about 1,144 people

500

Simplify (3x-1y2)(9x-9y-2)

What is 27/x10

500

Simplify: 12x 2/6x-3

What is 2x5

500

Simplify: (x2y6)-3

What is 1/x^6y^18

500

(-4x-2y-3z8/2x-4y0z)-4

What is y12/16x8z28

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